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Finding the Third Proportional to 7,312 and 8,770

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Solution

The third proportional to 7,312 and 8,770 is: 10,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 8,770 = 8,770 : x
  2. Step 2: Convert to fraction form
    7,312/8,770 = 8,770/x
  3. Step 3: Cross multiply
    7,312x = 8,770 × 8,770
  4. Step 4: Simplify right side
    7,312x = 76,912,900
  5. Step 5: Solve for x
    x = 76,912,900/7,312
  6. Step 6: Final answer
    x = 10,518.72

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.