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Finding the Third Proportional to 12,998 and 28,480

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Solution

The third proportional to 12,998 and 28,480 is: 62,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998 : 28,480 = 28,480 : x
  2. Step 2: Convert to fraction form
    12,998/28,480 = 28,480/x
  3. Step 3: Cross multiply
    12,998x = 28,480 × 28,480
  4. Step 4: Simplify right side
    12,998x = 811,110,400
  5. Step 5: Solve for x
    x = 811,110,400/12,998
  6. Step 6: Final answer
    x = 62,402.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.