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Finding the Third Proportional to 109,358 and 237,688

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Solution

The third proportional to 109,358 and 237,688 is: 516,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358 : 237,688 = 237,688 : x
  2. Step 2: Convert to fraction form
    109,358/237,688 = 237,688/x
  3. Step 3: Cross multiply
    109,358x = 237,688 × 237,688
  4. Step 4: Simplify right side
    109,358x = 56,495,585,344
  5. Step 5: Solve for x
    x = 56,495,585,344/109,358
  6. Step 6: Final answer
    x = 516,611.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.