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Finding the Third Proportional to 53,972 and 84,490

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Solution

The third proportional to 53,972 and 84,490 is: 132,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,972 : 84,490 = 84,490 : x
  2. Step 2: Convert to fraction form
    53,972/84,490 = 84,490/x
  3. Step 3: Cross multiply
    53,972x = 84,490 × 84,490
  4. Step 4: Simplify right side
    53,972x = 7,138,560,100
  5. Step 5: Solve for x
    x = 7,138,560,100/53,972
  6. Step 6: Final answer
    x = 132,264.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.