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Finding the Third Proportional to 218,790 and 478,071

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Solution

The third proportional to 218,790 and 478,071 is: 1,044,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,790 : 478,071 = 478,071 : x
  2. Step 2: Convert to fraction form
    218,790/478,071 = 478,071/x
  3. Step 3: Cross multiply
    218,790x = 478,071 × 478,071
  4. Step 4: Simplify right side
    218,790x = 228,551,881,041
  5. Step 5: Solve for x
    x = 228,551,881,041/218,790
  6. Step 6: Final answer
    x = 1,044,617.58

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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.