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Finding the Third Proportional to 181,690 and 424,382

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Solution

The third proportional to 181,690 and 424,382 is: 991,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,690 : 424,382 = 424,382 : x
  2. Step 2: Convert to fraction form
    181,690/424,382 = 424,382/x
  3. Step 3: Cross multiply
    181,690x = 424,382 × 424,382
  4. Step 4: Simplify right side
    181,690x = 180,100,081,924
  5. Step 5: Solve for x
    x = 180,100,081,924/181,690
  6. Step 6: Final answer
    x = 991,249.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.