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Finding the Third Proportional to 187,218 and 403,959

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Solution

The third proportional to 187,218 and 403,959 is: 871,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,218 : 403,959 = 403,959 : x
  2. Step 2: Convert to fraction form
    187,218/403,959 = 403,959/x
  3. Step 3: Cross multiply
    187,218x = 403,959 × 403,959
  4. Step 4: Simplify right side
    187,218x = 163,182,873,681
  5. Step 5: Solve for x
    x = 163,182,873,681/187,218
  6. Step 6: Final answer
    x = 871,619.58

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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.