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Finding the Third Proportional to 66,028 and 137,528

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Solution

The third proportional to 66,028 and 137,528 is: 286,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028 : 137,528 = 137,528 : x
  2. Step 2: Convert to fraction form
    66,028/137,528 = 137,528/x
  3. Step 3: Cross multiply
    66,028x = 137,528 × 137,528
  4. Step 4: Simplify right side
    66,028x = 18,913,950,784
  5. Step 5: Solve for x
    x = 18,913,950,784/66,028
  6. Step 6: Final answer
    x = 286,453.49

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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.