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Finding the Third Proportional to 186,724 and 409,730

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Solution

The third proportional to 186,724 and 409,730 is: 899,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,724 : 409,730 = 409,730 : x
  2. Step 2: Convert to fraction form
    186,724/409,730 = 409,730/x
  3. Step 3: Cross multiply
    186,724x = 409,730 × 409,730
  4. Step 4: Simplify right side
    186,724x = 167,878,672,900
  5. Step 5: Solve for x
    x = 167,878,672,900/186,724
  6. Step 6: Final answer
    x = 899,073.89

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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.