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Finding the Third Proportional to 53,012.25 and 81,217.13

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Solution

The third proportional to 53,012.25 and 81,217.13 is: 124,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,012.25 : 81,217.13 = 81,217.13 : x
  2. Step 2: Convert to fraction form
    53,012.25/81,217.13 = 81,217.13/x
  3. Step 3: Cross multiply
    53,012.25x = 81,217.13 × 81,217.13
  4. Step 4: Simplify right side
    53,012.25x = 6,596,221,393.27
  5. Step 5: Solve for x
    x = 6,596,221,393.27/53,012.25
  6. Step 6: Final answer
    x = 124,428.25

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.