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Finding the Third Proportional to 31,056,411 and 67,288,589.25

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Solution

The third proportional to 31,056,411 and 67,288,589.25 is: 145,791,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056,411 : 67,288,589.25 = 67,288,589.25 : x
  2. Step 2: Convert to fraction form
    31,056,411/67,288,589.25 = 67,288,589.25/x
  3. Step 3: Cross multiply
    31,056,411x = 67,288,589.25 × 67,288,589.25
  4. Step 4: Simplify right side
    31,056,411x = 4,527,754,243,255,216
  5. Step 5: Solve for x
    x = 4,527,754,243,255,216/31,056,411
  6. Step 6: Final answer
    x = 145,791,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.