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Finding the Third Proportional to 141,970 and 313,478

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Solution

The third proportional to 141,970 and 313,478 is: 692,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,970 : 313,478 = 313,478 : x
  2. Step 2: Convert to fraction form
    141,970/313,478 = 313,478/x
  3. Step 3: Cross multiply
    141,970x = 313,478 × 313,478
  4. Step 4: Simplify right side
    141,970x = 98,268,456,484
  5. Step 5: Solve for x
    x = 98,268,456,484/141,970
  6. Step 6: Final answer
    x = 692,177.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.