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Finding the Third Proportional to 31,129,769 and 49,729,995

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Solution

The third proportional to 31,129,769 and 49,729,995 is: 79,443,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129,769 : 49,729,995 = 49,729,995 : x
  2. Step 2: Convert to fraction form
    31,129,769/49,729,995 = 49,729,995/x
  3. Step 3: Cross multiply
    31,129,769x = 49,729,995 × 49,729,995
  4. Step 4: Simplify right side
    31,129,769x = 2,473,072,402,700,025
  5. Step 5: Solve for x
    x = 2,473,072,402,700,025/31,129,769
  6. Step 6: Final answer
    x = 79,443,968.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.