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Finding the Third Proportional to 160,453.13 and 343,677.38

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Solution

The third proportional to 160,453.13 and 343,677.38 is: 736,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,453.13 : 343,677.38 = 343,677.38 : x
  2. Step 2: Convert to fraction form
    160,453.13/343,677.38 = 343,677.38/x
  3. Step 3: Cross multiply
    160,453.13x = 343,677.38 × 343,677.38
  4. Step 4: Simplify right side
    160,453.13x = 118,114,138,086.89
  5. Step 5: Solve for x
    x = 118,114,138,086.89/160,453.13
  6. Step 6: Final answer
    x = 736,128.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.