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Finding the Third Proportional to 100,407 and 216,365

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Solution

The third proportional to 100,407 and 216,365 is: 466,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407 : 216,365 = 216,365 : x
  2. Step 2: Convert to fraction form
    100,407/216,365 = 216,365/x
  3. Step 3: Cross multiply
    100,407x = 216,365 × 216,365
  4. Step 4: Simplify right side
    100,407x = 46,813,813,225
  5. Step 5: Solve for x
    x = 46,813,813,225/100,407
  6. Step 6: Final answer
    x = 466,240.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.