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Finding the Third Proportional to 85,398 and 187,428

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Solution

The third proportional to 85,398 and 187,428 is: 411,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,398 : 187,428 = 187,428 : x
  2. Step 2: Convert to fraction form
    85,398/187,428 = 187,428/x
  3. Step 3: Cross multiply
    85,398x = 187,428 × 187,428
  4. Step 4: Simplify right side
    85,398x = 35,129,255,184
  5. Step 5: Solve for x
    x = 35,129,255,184/85,398
  6. Step 6: Final answer
    x = 411,359.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.