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Finding the Third Proportional to 8,078,918 and 17,702,920

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Solution

The third proportional to 8,078,918 and 17,702,920 is: 38,791,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,918 : 17,702,920 = 17,702,920 : x
  2. Step 2: Convert to fraction form
    8,078,918/17,702,920 = 17,702,920/x
  3. Step 3: Cross multiply
    8,078,918x = 17,702,920 × 17,702,920
  4. Step 4: Simplify right side
    8,078,918x = 313,393,376,526,400
  5. Step 5: Solve for x
    x = 313,393,376,526,400/8,078,918
  6. Step 6: Final answer
    x = 38,791,503.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.