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Finding the Third Proportional to 148,531 and 320,737

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Solution

The third proportional to 148,531 and 320,737 is: 692,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,531 : 320,737 = 320,737 : x
  2. Step 2: Convert to fraction form
    148,531/320,737 = 320,737/x
  3. Step 3: Cross multiply
    148,531x = 320,737 × 320,737
  4. Step 4: Simplify right side
    148,531x = 102,872,223,169
  5. Step 5: Solve for x
    x = 102,872,223,169/148,531
  6. Step 6: Final answer
    x = 692,597.66

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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.