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Finding the Third Proportional to 287,681 and 451,285

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Solution

The third proportional to 287,681 and 451,285 is: 707,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,681 : 451,285 = 451,285 : x
  2. Step 2: Convert to fraction form
    287,681/451,285 = 451,285/x
  3. Step 3: Cross multiply
    287,681x = 451,285 × 451,285
  4. Step 4: Simplify right side
    287,681x = 203,658,151,225
  5. Step 5: Solve for x
    x = 203,658,151,225/287,681
  6. Step 6: Final answer
    x = 707,930.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.