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Finding the Third Proportional to 100,478 and 216,730

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Solution

The third proportional to 100,478 and 216,730 is: 467,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,478 : 216,730 = 216,730 : x
  2. Step 2: Convert to fraction form
    100,478/216,730 = 216,730/x
  3. Step 3: Cross multiply
    100,478x = 216,730 × 216,730
  4. Step 4: Simplify right side
    100,478x = 46,971,892,900
  5. Step 5: Solve for x
    x = 46,971,892,900/100,478
  6. Step 6: Final answer
    x = 467,484.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.