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Finding the Third Proportional to 148,140 and 229,446

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Solution

The third proportional to 148,140 and 229,446 is: 355,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,140 : 229,446 = 229,446 : x
  2. Step 2: Convert to fraction form
    148,140/229,446 = 229,446/x
  3. Step 3: Cross multiply
    148,140x = 229,446 × 229,446
  4. Step 4: Simplify right side
    148,140x = 52,645,466,916
  5. Step 5: Solve for x
    x = 52,645,466,916/148,140
  6. Step 6: Final answer
    x = 355,376.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.