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Finding the Third Proportional to 455,374.13 and 679,366.69

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Solution

The third proportional to 455,374.13 and 679,366.69 is: 1,013,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,374.13 : 679,366.69 = 679,366.69 : x
  2. Step 2: Convert to fraction form
    455,374.13/679,366.69 = 679,366.69/x
  3. Step 3: Cross multiply
    455,374.13x = 679,366.69 × 679,366.69
  4. Step 4: Simplify right side
    455,374.13x = 461,539,096,084.72
  5. Step 5: Solve for x
    x = 461,539,096,084.72/455,374.13
  6. Step 6: Final answer
    x = 1,013,538.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.