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Finding the Third Proportional to 66,020 and 142,560

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Solution

The third proportional to 66,020 and 142,560 is: 307,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,020 : 142,560 = 142,560 : x
  2. Step 2: Convert to fraction form
    66,020/142,560 = 142,560/x
  3. Step 3: Cross multiply
    66,020x = 142,560 × 142,560
  4. Step 4: Simplify right side
    66,020x = 20,323,353,600
  5. Step 5: Solve for x
    x = 20,323,353,600/66,020
  6. Step 6: Final answer
    x = 307,836.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.