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Finding the Third Proportional to 289,132.31 and 626,531.06

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Solution

The third proportional to 289,132.31 and 626,531.06 is: 1,357,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,132.31 : 626,531.06 = 626,531.06 : x
  2. Step 2: Convert to fraction form
    289,132.31/626,531.06 = 626,531.06/x
  3. Step 3: Cross multiply
    289,132.31x = 626,531.06 × 626,531.06
  4. Step 4: Simplify right side
    289,132.31x = 392,541,172,277.38
  5. Step 5: Solve for x
    x = 392,541,172,277.38/289,132.31
  6. Step 6: Final answer
    x = 1,357,652.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.