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Finding the Third Proportional to 12,987 and 28,430

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Solution

The third proportional to 12,987 and 28,430 is: 62,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 28,430 = 28,430 : x
  2. Step 2: Convert to fraction form
    12,987/28,430 = 28,430/x
  3. Step 3: Cross multiply
    12,987x = 28,430 × 28,430
  4. Step 4: Simplify right side
    12,987x = 808,264,900
  5. Step 5: Solve for x
    x = 808,264,900/12,987
  6. Step 6: Final answer
    x = 62,236.46

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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.