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Finding the Third Proportional to 445,058 and 671,403

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Solution

The third proportional to 445,058 and 671,403 is: 1,012,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,058 : 671,403 = 671,403 : x
  2. Step 2: Convert to fraction form
    445,058/671,403 = 671,403/x
  3. Step 3: Cross multiply
    445,058x = 671,403 × 671,403
  4. Step 4: Simplify right side
    445,058x = 450,781,988,409
  5. Step 5: Solve for x
    x = 450,781,988,409/445,058
  6. Step 6: Final answer
    x = 1,012,861.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.