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Finding the Third Proportional to 53,582 and 129,632

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Solution

The third proportional to 53,582 and 129,632 is: 313,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,582 : 129,632 = 129,632 : x
  2. Step 2: Convert to fraction form
    53,582/129,632 = 129,632/x
  3. Step 3: Cross multiply
    53,582x = 129,632 × 129,632
  4. Step 4: Simplify right side
    53,582x = 16,804,455,424
  5. Step 5: Solve for x
    x = 16,804,455,424/53,582
  6. Step 6: Final answer
    x = 313,621.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.