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Finding the Third Proportional to 69,476 and 141,407

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Solution

The third proportional to 69,476 and 141,407 is: 287,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,476 : 141,407 = 141,407 : x
  2. Step 2: Convert to fraction form
    69,476/141,407 = 141,407/x
  3. Step 3: Cross multiply
    69,476x = 141,407 × 141,407
  4. Step 4: Simplify right side
    69,476x = 19,995,939,649
  5. Step 5: Solve for x
    x = 19,995,939,649/69,476
  6. Step 6: Final answer
    x = 287,810.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.