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Finding the Third Proportional to 56,972 and 90,726

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Solution

The third proportional to 56,972 and 90,726 is: 144,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,972 : 90,726 = 90,726 : x
  2. Step 2: Convert to fraction form
    56,972/90,726 = 90,726/x
  3. Step 3: Cross multiply
    56,972x = 90,726 × 90,726
  4. Step 4: Simplify right side
    56,972x = 8,231,207,076
  5. Step 5: Solve for x
    x = 8,231,207,076/56,972
  6. Step 6: Final answer
    x = 144,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.