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Finding the Third Proportional to 3,069,940 and 6,513,920

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Solution

The third proportional to 3,069,940 and 6,513,920 is: 13,821,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069,940 : 6,513,920 = 6,513,920 : x
  2. Step 2: Convert to fraction form
    3,069,940/6,513,920 = 6,513,920/x
  3. Step 3: Cross multiply
    3,069,940x = 6,513,920 × 6,513,920
  4. Step 4: Simplify right side
    3,069,940x = 42,431,153,766,400
  5. Step 5: Solve for x
    x = 42,431,153,766,400/3,069,940
  6. Step 6: Final answer
    x = 13,821,492.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.