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Finding the Third Proportional to 369,127.50 and 561,156.75

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Solution

The third proportional to 369,127.50 and 561,156.75 is: 853,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,127.50 : 561,156.75 = 561,156.75 : x
  2. Step 2: Convert to fraction form
    369,127.50/561,156.75 = 561,156.75/x
  3. Step 3: Cross multiply
    369,127.50x = 561,156.75 × 561,156.75
  4. Step 4: Simplify right side
    369,127.50x = 314,896,898,070.56
  5. Step 5: Solve for x
    x = 314,896,898,070.56/369,127.50
  6. Step 6: Final answer
    x = 853,084.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.