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Finding the Third Proportional to 456,448 and 671,748

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Solution

The third proportional to 456,448 and 671,748 is: 988,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448 : 671,748 = 671,748 : x
  2. Step 2: Convert to fraction form
    456,448/671,748 = 671,748/x
  3. Step 3: Cross multiply
    456,448x = 671,748 × 671,748
  4. Step 4: Simplify right side
    456,448x = 451,245,375,504
  5. Step 5: Solve for x
    x = 451,245,375,504/456,448
  6. Step 6: Final answer
    x = 988,601.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.