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Finding the Third Proportional to 7,402 and 8,779

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Solution

The third proportional to 7,402 and 8,779 is: 10,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 8,779 = 8,779 : x
  2. Step 2: Convert to fraction form
    7,402/8,779 = 8,779/x
  3. Step 3: Cross multiply
    7,402x = 8,779 × 8,779
  4. Step 4: Simplify right side
    7,402x = 77,070,841
  5. Step 5: Solve for x
    x = 77,070,841/7,402
  6. Step 6: Final answer
    x = 10,412.16

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.