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Finding the Third Proportional to 31,191,834 and 69,555,637.50

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Solution

The third proportional to 31,191,834 and 69,555,637.50 is: 155,104,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,834 : 69,555,637.50 = 69,555,637.50 : x
  2. Step 2: Convert to fraction form
    31,191,834/69,555,637.50 = 69,555,637.50/x
  3. Step 3: Cross multiply
    31,191,834x = 69,555,637.50 × 69,555,637.50
  4. Step 4: Simplify right side
    31,191,834x = 4,837,986,708,031,406
  5. Step 5: Solve for x
    x = 4,837,986,708,031,406/31,191,834
  6. Step 6: Final answer
    x = 155,104,272.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.