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Finding the Third Proportional to 272,657,412 and 431,812,638

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Solution

The third proportional to 272,657,412 and 431,812,638 is: 683,869,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,657,412 : 431,812,638 = 431,812,638 : x
  2. Step 2: Convert to fraction form
    272,657,412/431,812,638 = 431,812,638/x
  3. Step 3: Cross multiply
    272,657,412x = 431,812,638 × 431,812,638
  4. Step 4: Simplify right side
    272,657,412x = 186,462,154,336,519,040
  5. Step 5: Solve for x
    x = 186,462,154,336,519,040/272,657,412
  6. Step 6: Final answer
    x = 683,869,743.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.