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Finding the Third Proportional to 155,977.13 and 319,329.38

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Solution

The third proportional to 155,977.13 and 319,329.38 is: 653,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,977.13 : 319,329.38 = 319,329.38 : x
  2. Step 2: Convert to fraction form
    155,977.13/319,329.38 = 319,329.38/x
  3. Step 3: Cross multiply
    155,977.13x = 319,329.38 × 319,329.38
  4. Step 4: Simplify right side
    155,977.13x = 101,971,249,737.89
  5. Step 5: Solve for x
    x = 101,971,249,737.89/155,977.13
  6. Step 6: Final answer
    x = 653,757.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.