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Finding the Third Proportional to 186,339 and 402,342

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Solution

The third proportional to 186,339 and 402,342 is: 868,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,339 : 402,342 = 402,342 : x
  2. Step 2: Convert to fraction form
    186,339/402,342 = 402,342/x
  3. Step 3: Cross multiply
    186,339x = 402,342 × 402,342
  4. Step 4: Simplify right side
    186,339x = 161,879,084,964
  5. Step 5: Solve for x
    x = 161,879,084,964/186,339
  6. Step 6: Final answer
    x = 868,734.32

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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.