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Finding the Third Proportional to 31,800,128 and 68,635,648

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Solution

The third proportional to 31,800,128 and 68,635,648 is: 148,139,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800,128 : 68,635,648 = 68,635,648 : x
  2. Step 2: Convert to fraction form
    31,800,128/68,635,648 = 68,635,648/x
  3. Step 3: Cross multiply
    31,800,128x = 68,635,648 × 68,635,648
  4. Step 4: Simplify right side
    31,800,128x = 4,710,852,176,379,904
  5. Step 5: Solve for x
    x = 4,710,852,176,379,904/31,800,128
  6. Step 6: Final answer
    x = 148,139,409.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.