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Finding the Third Proportional to 7,780 and 12,373.50

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Solution

The third proportional to 7,780 and 12,373.50 is: 19,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780 : 12,373.50 = 12,373.50 : x
  2. Step 2: Convert to fraction form
    7,780/12,373.50 = 12,373.50/x
  3. Step 3: Cross multiply
    7,780x = 12,373.50 × 12,373.50
  4. Step 4: Simplify right side
    7,780x = 153,103,502.25
  5. Step 5: Solve for x
    x = 153,103,502.25/7,780
  6. Step 6: Final answer
    x = 19,679.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.