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Finding the Third Proportional to 149,436 and 322,487

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Solution

The third proportional to 149,436 and 322,487 is: 695,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,436 : 322,487 = 322,487 : x
  2. Step 2: Convert to fraction form
    149,436/322,487 = 322,487/x
  3. Step 3: Cross multiply
    149,436x = 322,487 × 322,487
  4. Step 4: Simplify right side
    149,436x = 103,997,865,169
  5. Step 5: Solve for x
    x = 103,997,865,169/149,436
  6. Step 6: Final answer
    x = 695,935.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.