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Finding the Third Proportional to 65,080,809 and 89,240,143.50

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Solution

The third proportional to 65,080,809 and 89,240,143.50 is: 122,367,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080,809 : 89,240,143.50 = 89,240,143.50 : x
  2. Step 2: Convert to fraction form
    65,080,809/89,240,143.50 = 89,240,143.50/x
  3. Step 3: Cross multiply
    65,080,809x = 89,240,143.50 × 89,240,143.50
  4. Step 4: Simplify right side
    65,080,809x = 7,963,803,211,900,592
  5. Step 5: Solve for x
    x = 7,963,803,211,900,592/65,080,809
  6. Step 6: Final answer
    x = 122,367,919.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.