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Finding the Third Proportional to 124,012,512 and 289,657,120.50

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Solution

The third proportional to 124,012,512 and 289,657,120.50 is: 676,554,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,012,512 : 289,657,120.50 = 289,657,120.50 : x
  2. Step 2: Convert to fraction form
    124,012,512/289,657,120.50 = 289,657,120.50/x
  3. Step 3: Cross multiply
    124,012,512x = 289,657,120.50 × 289,657,120.50
  4. Step 4: Simplify right side
    124,012,512x = 83,901,247,456,351,520
  5. Step 5: Solve for x
    x = 83,901,247,456,351,520/124,012,512
  6. Step 6: Final answer
    x = 676,554,696.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.