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Finding the Third Proportional to 218,688 and 462,720

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Solution

The third proportional to 218,688 and 462,720 is: 979,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,688 : 462,720 = 462,720 : x
  2. Step 2: Convert to fraction form
    218,688/462,720 = 462,720/x
  3. Step 3: Cross multiply
    218,688x = 462,720 × 462,720
  4. Step 4: Simplify right side
    218,688x = 214,109,798,400
  5. Step 5: Solve for x
    x = 214,109,798,400/218,688
  6. Step 6: Final answer
    x = 979,065.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.