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Finding the Third Proportional to 187,086 and 413,547

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Solution

The third proportional to 187,086 and 413,547 is: 914,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,086 : 413,547 = 413,547 : x
  2. Step 2: Convert to fraction form
    187,086/413,547 = 413,547/x
  3. Step 3: Cross multiply
    187,086x = 413,547 × 413,547
  4. Step 4: Simplify right side
    187,086x = 171,021,121,209
  5. Step 5: Solve for x
    x = 171,021,121,209/187,086
  6. Step 6: Final answer
    x = 914,131.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.