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Finding the Third Proportional to 7,309,920 and 15,708,480

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Solution

The third proportional to 7,309,920 and 15,708,480 is: 33,756,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309,920 : 15,708,480 = 15,708,480 : x
  2. Step 2: Convert to fraction form
    7,309,920/15,708,480 = 15,708,480/x
  3. Step 3: Cross multiply
    7,309,920x = 15,708,480 × 15,708,480
  4. Step 4: Simplify right side
    7,309,920x = 246,756,343,910,400
  5. Step 5: Solve for x
    x = 246,756,343,910,400/7,309,920
  6. Step 6: Final answer
    x = 33,756,367.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.