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Finding the Third Proportional to 287,762 and 451,429

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Solution

The third proportional to 287,762 and 451,429 is: 708,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762 : 451,429 = 451,429 : x
  2. Step 2: Convert to fraction form
    287,762/451,429 = 451,429/x
  3. Step 3: Cross multiply
    287,762x = 451,429 × 451,429
  4. Step 4: Simplify right side
    287,762x = 203,788,142,041
  5. Step 5: Solve for x
    x = 203,788,142,041/287,762
  6. Step 6: Final answer
    x = 708,182.95

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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.