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Finding the Third Proportional to 323,539.31 and 688,570.88

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Solution

The third proportional to 323,539.31 and 688,570.88 is: 1,465,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,539.31 : 688,570.88 = 688,570.88 : x
  2. Step 2: Convert to fraction form
    323,539.31/688,570.88 = 688,570.88/x
  3. Step 3: Cross multiply
    323,539.31x = 688,570.88 × 688,570.88
  4. Step 4: Simplify right side
    323,539.31x = 474,129,849,898.27
  5. Step 5: Solve for x
    x = 474,129,849,898.27/323,539.31
  6. Step 6: Final answer
    x = 1,465,447.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.