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Finding the Third Proportional to 218,629 and 478,136

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Solution

The third proportional to 218,629 and 478,136 is: 1,045,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,629 : 478,136 = 478,136 : x
  2. Step 2: Convert to fraction form
    218,629/478,136 = 478,136/x
  3. Step 3: Cross multiply
    218,629x = 478,136 × 478,136
  4. Step 4: Simplify right side
    218,629x = 228,614,034,496
  5. Step 5: Solve for x
    x = 228,614,034,496/218,629
  6. Step 6: Final answer
    x = 1,045,671.13

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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.