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Finding the Third Proportional to 155,971 and 341,628

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Solution

The third proportional to 155,971 and 341,628 is: 748,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,971 : 341,628 = 341,628 : x
  2. Step 2: Convert to fraction form
    155,971/341,628 = 341,628/x
  3. Step 3: Cross multiply
    155,971x = 341,628 × 341,628
  4. Step 4: Simplify right side
    155,971x = 116,709,690,384
  5. Step 5: Solve for x
    x = 116,709,690,384/155,971
  6. Step 6: Final answer
    x = 748,278.14

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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.