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Finding the Third Proportional to 160,354.13 and 346,132.13

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Solution

The third proportional to 160,354.13 and 346,132.13 is: 747,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,354.13 : 346,132.13 = 346,132.13 : x
  2. Step 2: Convert to fraction form
    160,354.13/346,132.13 = 346,132.13/x
  3. Step 3: Cross multiply
    160,354.13x = 346,132.13 × 346,132.13
  4. Step 4: Simplify right side
    160,354.13x = 119,807,447,957.02
  5. Step 5: Solve for x
    x = 119,807,447,957.02/160,354.13
  6. Step 6: Final answer
    x = 747,142.91

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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.