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Finding the Third Proportional to 66,352 and 145,120

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Solution

The third proportional to 66,352 and 145,120 is: 317,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,352 : 145,120 = 145,120 : x
  2. Step 2: Convert to fraction form
    66,352/145,120 = 145,120/x
  3. Step 3: Cross multiply
    66,352x = 145,120 × 145,120
  4. Step 4: Simplify right side
    66,352x = 21,059,814,400
  5. Step 5: Solve for x
    x = 21,059,814,400/66,352
  6. Step 6: Final answer
    x = 317,395.32

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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.