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Finding the Third Proportional to 69,130,336 and 148,121,160

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Solution

The third proportional to 69,130,336 and 148,121,160 is: 317,369,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130,336 : 148,121,160 = 148,121,160 : x
  2. Step 2: Convert to fraction form
    69,130,336/148,121,160 = 148,121,160/x
  3. Step 3: Cross multiply
    69,130,336x = 148,121,160 × 148,121,160
  4. Step 4: Simplify right side
    69,130,336x = 21,939,878,039,745,600
  5. Step 5: Solve for x
    x = 21,939,878,039,745,600/69,130,336
  6. Step 6: Final answer
    x = 317,369,758.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.