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Finding the Third Proportional to 186,700 and 409,688

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Solution

The third proportional to 186,700 and 409,688 is: 899,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,700 : 409,688 = 409,688 : x
  2. Step 2: Convert to fraction form
    186,700/409,688 = 409,688/x
  3. Step 3: Cross multiply
    186,700x = 409,688 × 409,688
  4. Step 4: Simplify right side
    186,700x = 167,844,257,344
  5. Step 5: Solve for x
    x = 167,844,257,344/186,700
  6. Step 6: Final answer
    x = 899,005.13

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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.