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Finding the Third Proportional to 137,085,920 and 296,742,976

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Solution

The third proportional to 137,085,920 and 296,742,976 is: 642,344,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,085,920 : 296,742,976 = 296,742,976 : x
  2. Step 2: Convert to fraction form
    137,085,920/296,742,976 = 296,742,976/x
  3. Step 3: Cross multiply
    137,085,920x = 296,742,976 × 296,742,976
  4. Step 4: Simplify right side
    137,085,920x = 88,056,393,805,336,576
  5. Step 5: Solve for x
    x = 88,056,393,805,336,576/137,085,920
  6. Step 6: Final answer
    x = 642,344,551.54

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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.