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Finding the Third Proportional to 66,574 and 145,432

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Solution

The third proportional to 66,574 and 145,432 is: 317,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,574 : 145,432 = 145,432 : x
  2. Step 2: Convert to fraction form
    66,574/145,432 = 145,432/x
  3. Step 3: Cross multiply
    66,574x = 145,432 × 145,432
  4. Step 4: Simplify right side
    66,574x = 21,150,466,624
  5. Step 5: Solve for x
    x = 21,150,466,624/66,574
  6. Step 6: Final answer
    x = 317,698.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.