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Finding the Third Proportional to 187,442 and 404,409

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Solution

The third proportional to 187,442 and 404,409 is: 872,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,442 : 404,409 = 404,409 : x
  2. Step 2: Convert to fraction form
    187,442/404,409 = 404,409/x
  3. Step 3: Cross multiply
    187,442x = 404,409 × 404,409
  4. Step 4: Simplify right side
    187,442x = 163,546,639,281
  5. Step 5: Solve for x
    x = 163,546,639,281/187,442
  6. Step 6: Final answer
    x = 872,518.64

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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.