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Finding the Third Proportional to 247,281.75 and 385,688.25

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Solution

The third proportional to 247,281.75 and 385,688.25 is: 601,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,281.75 : 385,688.25 = 385,688.25 : x
  2. Step 2: Convert to fraction form
    247,281.75/385,688.25 = 385,688.25/x
  3. Step 3: Cross multiply
    247,281.75x = 385,688.25 × 385,688.25
  4. Step 4: Simplify right side
    247,281.75x = 148,755,426,188.06
  5. Step 5: Solve for x
    x = 148,755,426,188.06/247,281.75
  6. Step 6: Final answer
    x = 601,562.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.