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Finding the Third Proportional to 5,672 and 8,470

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Solution

The third proportional to 5,672 and 8,470 is: 12,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672 : 8,470 = 8,470 : x
  2. Step 2: Convert to fraction form
    5,672/8,470 = 8,470/x
  3. Step 3: Cross multiply
    5,672x = 8,470 × 8,470
  4. Step 4: Simplify right side
    5,672x = 71,740,900
  5. Step 5: Solve for x
    x = 71,740,900/5,672
  6. Step 6: Final answer
    x = 12,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.