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Finding the Third Proportional to 186,359 and 409,328

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Solution

The third proportional to 186,359 and 409,328 is: 899,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,359 : 409,328 = 409,328 : x
  2. Step 2: Convert to fraction form
    186,359/409,328 = 409,328/x
  3. Step 3: Cross multiply
    186,359x = 409,328 × 409,328
  4. Step 4: Simplify right side
    186,359x = 167,549,411,584
  5. Step 5: Solve for x
    x = 167,549,411,584/186,359
  6. Step 6: Final answer
    x = 899,067.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.