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Finding the Third Proportional to 82,386 and 124,490

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Solution

The third proportional to 82,386 and 124,490 is: 188,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,386 : 124,490 = 124,490 : x
  2. Step 2: Convert to fraction form
    82,386/124,490 = 124,490/x
  3. Step 3: Cross multiply
    82,386x = 124,490 × 124,490
  4. Step 4: Simplify right side
    82,386x = 15,497,760,100
  5. Step 5: Solve for x
    x = 15,497,760,100/82,386
  6. Step 6: Final answer
    x = 188,111.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.