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Finding the Third Proportional to 31,691,430.56 and 68,803,332.19

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Solution

The third proportional to 31,691,430.56 and 68,803,332.19 is: 149,374,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691,430.56 : 68,803,332.19 = 68,803,332.19 : x
  2. Step 2: Convert to fraction form
    31,691,430.56/68,803,332.19 = 68,803,332.19/x
  3. Step 3: Cross multiply
    31,691,430.56x = 68,803,332.19 × 68,803,332.19
  4. Step 4: Simplify right side
    31,691,430.56x = 4,733,898,520,103,474
  5. Step 5: Solve for x
    x = 4,733,898,520,103,474/31,691,430.56
  6. Step 6: Final answer
    x = 149,374,718.53

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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.