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Finding the Third Proportional to 334,899,698,192 and 514,764,847,128

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Solution

The third proportional to 334,899,698,192 and 514,764,847,128 is: 791,230,476,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,899,698,192 : 514,764,847,128 = 514,764,847,128 : x
  2. Step 2: Convert to fraction form
    334,899,698,192/514,764,847,128 = 514,764,847,128/x
  3. Step 3: Cross multiply
    334,899,698,192x = 514,764,847,128 × 514,764,847,128
  4. Step 4: Simplify right side
    334,899,698,192x = 264,982,847,838,713,204,965,376
  5. Step 5: Solve for x
    x = 264,982,847,838,713,204,965,376/334,899,698,192
  6. Step 6: Final answer
    x = 791,230,476,674.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.