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Finding the Third Proportional to 186,712 and 409,708

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Solution

The third proportional to 186,712 and 409,708 is: 899,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,712 : 409,708 = 409,708 : x
  2. Step 2: Convert to fraction form
    186,712/409,708 = 409,708/x
  3. Step 3: Cross multiply
    186,712x = 409,708 × 409,708
  4. Step 4: Simplify right side
    186,712x = 167,860,645,264
  5. Step 5: Solve for x
    x = 167,860,645,264/186,712
  6. Step 6: Final answer
    x = 899,035.12

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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.