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Finding the Third Proportional to 66,051 and 137,574

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Solution

The third proportional to 66,051 and 137,574 is: 286,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,051 : 137,574 = 137,574 : x
  2. Step 2: Convert to fraction form
    66,051/137,574 = 137,574/x
  3. Step 3: Cross multiply
    66,051x = 137,574 × 137,574
  4. Step 4: Simplify right side
    66,051x = 18,926,605,476
  5. Step 5: Solve for x
    x = 18,926,605,476/66,051
  6. Step 6: Final answer
    x = 286,545.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.