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Finding the Third Proportional to 218,720 and 316,091

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Solution

The third proportional to 218,720 and 316,091 is: 456,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,720 : 316,091 = 316,091 : x
  2. Step 2: Convert to fraction form
    218,720/316,091 = 316,091/x
  3. Step 3: Cross multiply
    218,720x = 316,091 × 316,091
  4. Step 4: Simplify right side
    218,720x = 99,913,520,281
  5. Step 5: Solve for x
    x = 99,913,520,281/218,720
  6. Step 6: Final answer
    x = 456,810.17

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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.