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Finding the Third Proportional to 451,748 and 665,130

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Solution

The third proportional to 451,748 and 665,130 is: 979,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,748 : 665,130 = 665,130 : x
  2. Step 2: Convert to fraction form
    451,748/665,130 = 665,130/x
  3. Step 3: Cross multiply
    451,748x = 665,130 × 665,130
  4. Step 4: Simplify right side
    451,748x = 442,397,916,900
  5. Step 5: Solve for x
    x = 442,397,916,900/451,748
  6. Step 6: Final answer
    x = 979,302.44

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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.