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Finding the Third Proportional to 66,457 and 101,072

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Solution

The third proportional to 66,457 and 101,072 is: 153,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,457 : 101,072 = 101,072 : x
  2. Step 2: Convert to fraction form
    66,457/101,072 = 101,072/x
  3. Step 3: Cross multiply
    66,457x = 101,072 × 101,072
  4. Step 4: Simplify right side
    66,457x = 10,215,549,184
  5. Step 5: Solve for x
    x = 10,215,549,184/66,457
  6. Step 6: Final answer
    x = 153,716.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.