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Finding the Third Proportional to 214,623 and 291,486

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Solution

The third proportional to 214,623 and 291,486 is: 395,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,623 : 291,486 = 291,486 : x
  2. Step 2: Convert to fraction form
    214,623/291,486 = 291,486/x
  3. Step 3: Cross multiply
    214,623x = 291,486 × 291,486
  4. Step 4: Simplify right side
    214,623x = 84,964,088,196
  5. Step 5: Solve for x
    x = 84,964,088,196/214,623
  6. Step 6: Final answer
    x = 395,875.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.