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Finding the Third Proportional to 38,871,870 and 89,990,758.50

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Solution

The third proportional to 38,871,870 and 89,990,758.50 is: 208,334,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871,870 : 89,990,758.50 = 89,990,758.50 : x
  2. Step 2: Convert to fraction form
    38,871,870/89,990,758.50 = 89,990,758.50/x
  3. Step 3: Cross multiply
    38,871,870x = 89,990,758.50 × 89,990,758.50
  4. Step 4: Simplify right side
    38,871,870x = 8,098,336,615,405,322
  5. Step 5: Solve for x
    x = 8,098,336,615,405,322/38,871,870
  6. Step 6: Final answer
    x = 208,334,114.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.