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Finding the Third Proportional to 279,894,984 and 385,829,712

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Solution

The third proportional to 279,894,984 and 385,829,712 is: 531,858,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,894,984 : 385,829,712 = 385,829,712 : x
  2. Step 2: Convert to fraction form
    279,894,984/385,829,712 = 385,829,712/x
  3. Step 3: Cross multiply
    279,894,984x = 385,829,712 × 385,829,712
  4. Step 4: Simplify right side
    279,894,984x = 148,864,566,662,002,944
  5. Step 5: Solve for x
    x = 148,864,566,662,002,944/279,894,984
  6. Step 6: Final answer
    x = 531,858,644.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.