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Finding the Third Proportional to 180,130.50 and 386,972

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Solution

The third proportional to 180,130.50 and 386,972 is: 831,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,130.50 : 386,972 = 386,972 : x
  2. Step 2: Convert to fraction form
    180,130.50/386,972 = 386,972/x
  3. Step 3: Cross multiply
    180,130.50x = 386,972 × 386,972
  4. Step 4: Simplify right side
    180,130.50x = 149,747,328,784
  5. Step 5: Solve for x
    x = 149,747,328,784/180,130.50
  6. Step 6: Final answer
    x = 831,326.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.