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Finding the Third Proportional to 18,070 and 28,382

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Solution

The third proportional to 18,070 and 28,382 is: 44,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,070 : 28,382 = 28,382 : x
  2. Step 2: Convert to fraction form
    18,070/28,382 = 28,382/x
  3. Step 3: Cross multiply
    18,070x = 28,382 × 28,382
  4. Step 4: Simplify right side
    18,070x = 805,537,924
  5. Step 5: Solve for x
    x = 805,537,924/18,070
  6. Step 6: Final answer
    x = 44,578.75

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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.