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Finding the Third Proportional to 223,438 and 478,862

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Solution

The third proportional to 223,438 and 478,862 is: 1,026,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,438 : 478,862 = 478,862 : x
  2. Step 2: Convert to fraction form
    223,438/478,862 = 478,862/x
  3. Step 3: Cross multiply
    223,438x = 478,862 × 478,862
  4. Step 4: Simplify right side
    223,438x = 229,308,815,044
  5. Step 5: Solve for x
    x = 229,308,815,044/223,438
  6. Step 6: Final answer
    x = 1,026,274.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.