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Finding the Third Proportional to 218,718 and 316,088

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Solution

The third proportional to 218,718 and 316,088 is: 456,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718 : 316,088 = 316,088 : x
  2. Step 2: Convert to fraction form
    218,718/316,088 = 316,088/x
  3. Step 3: Cross multiply
    218,718x = 316,088 × 316,088
  4. Step 4: Simplify right side
    218,718x = 99,911,623,744
  5. Step 5: Solve for x
    x = 99,911,623,744/218,718
  6. Step 6: Final answer
    x = 456,805.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.