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Finding the Third Proportional to 145,414 and 317,832

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Solution

The third proportional to 145,414 and 317,832 is: 694,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414 : 317,832 = 317,832 : x
  2. Step 2: Convert to fraction form
    145,414/317,832 = 317,832/x
  3. Step 3: Cross multiply
    145,414x = 317,832 × 317,832
  4. Step 4: Simplify right side
    145,414x = 101,017,180,224
  5. Step 5: Solve for x
    x = 101,017,180,224/145,414
  6. Step 6: Final answer
    x = 694,686.76

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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.