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Finding the Third Proportional to 106,552 and 233,840

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Solution

The third proportional to 106,552 and 233,840 is: 513,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552 : 233,840 = 233,840 : x
  2. Step 2: Convert to fraction form
    106,552/233,840 = 233,840/x
  3. Step 3: Cross multiply
    106,552x = 233,840 × 233,840
  4. Step 4: Simplify right side
    106,552x = 54,681,145,600
  5. Step 5: Solve for x
    x = 54,681,145,600/106,552
  6. Step 6: Final answer
    x = 513,187.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.