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Finding the Third Proportional to 218,781 and 478,053

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Solution

The third proportional to 218,781 and 478,053 is: 1,044,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,781 : 478,053 = 478,053 : x
  2. Step 2: Convert to fraction form
    218,781/478,053 = 478,053/x
  3. Step 3: Cross multiply
    218,781x = 478,053 × 478,053
  4. Step 4: Simplify right side
    218,781x = 228,534,670,809
  5. Step 5: Solve for x
    x = 228,534,670,809/218,781
  6. Step 6: Final answer
    x = 1,044,581.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.