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Finding the Third Proportional to 242,721.56 and 516,577.50

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Solution

The third proportional to 242,721.56 and 516,577.50 is: 1,099,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,721.56 : 516,577.50 = 516,577.50 : x
  2. Step 2: Convert to fraction form
    242,721.56/516,577.50 = 516,577.50/x
  3. Step 3: Cross multiply
    242,721.56x = 516,577.50 × 516,577.50
  4. Step 4: Simplify right side
    242,721.56x = 266,852,313,506.25
  5. Step 5: Solve for x
    x = 266,852,313,506.25/242,721.56
  6. Step 6: Final answer
    x = 1,099,417.42

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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.