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Finding the Third Proportional to 153,358 and 331,340

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Solution

The third proportional to 153,358 and 331,340 is: 715,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,358 : 331,340 = 331,340 : x
  2. Step 2: Convert to fraction form
    153,358/331,340 = 331,340/x
  3. Step 3: Cross multiply
    153,358x = 331,340 × 331,340
  4. Step 4: Simplify right side
    153,358x = 109,786,195,600
  5. Step 5: Solve for x
    x = 109,786,195,600/153,358
  6. Step 6: Final answer
    x = 715,881.76

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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.