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Finding the Third Proportional to 272,281.50 and 432,447.75

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Solution

The third proportional to 272,281.50 and 432,447.75 is: 686,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,281.50 : 432,447.75 = 432,447.75 : x
  2. Step 2: Convert to fraction form
    272,281.50/432,447.75 = 432,447.75/x
  3. Step 3: Cross multiply
    272,281.50x = 432,447.75 × 432,447.75
  4. Step 4: Simplify right side
    272,281.50x = 187,011,056,480.06
  5. Step 5: Solve for x
    x = 187,011,056,480.06/272,281.50
  6. Step 6: Final answer
    x = 686,829.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.