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Finding the Third Proportional to 31,788,855 and 68,429,569.50

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Solution

The third proportional to 31,788,855 and 68,429,569.50 is: 147,303,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788,855 : 68,429,569.50 = 68,429,569.50 : x
  2. Step 2: Convert to fraction form
    31,788,855/68,429,569.50 = 68,429,569.50/x
  3. Step 3: Cross multiply
    31,788,855x = 68,429,569.50 × 68,429,569.50
  4. Step 4: Simplify right side
    31,788,855x = 4,682,605,981,955,330
  5. Step 5: Solve for x
    x = 4,682,605,981,955,330/31,788,855
  6. Step 6: Final answer
    x = 147,303,386.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.