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Finding the Third Proportional to 69,480 and 141,417

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Solution

The third proportional to 69,480 and 141,417 is: 287,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,480 : 141,417 = 141,417 : x
  2. Step 2: Convert to fraction form
    69,480/141,417 = 141,417/x
  3. Step 3: Cross multiply
    69,480x = 141,417 × 141,417
  4. Step 4: Simplify right side
    69,480x = 19,998,767,889
  5. Step 5: Solve for x
    x = 19,998,767,889/69,480
  6. Step 6: Final answer
    x = 287,834.89

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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.