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Finding the Third Proportional to 157,358 and 345,820

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Solution

The third proportional to 157,358 and 345,820 is: 759,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,358 : 345,820 = 345,820 : x
  2. Step 2: Convert to fraction form
    157,358/345,820 = 345,820/x
  3. Step 3: Cross multiply
    157,358x = 345,820 × 345,820
  4. Step 4: Simplify right side
    157,358x = 119,591,472,400
  5. Step 5: Solve for x
    x = 119,591,472,400/157,358
  6. Step 6: Final answer
    x = 759,996.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.