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Finding the Third Proportional to 834,414,360 and 1,737,497,448

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Solution

The third proportional to 834,414,360 and 1,737,497,448 is: 3,617,983,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,360 : 1,737,497,448 = 1,737,497,448 : x
  2. Step 2: Convert to fraction form
    834,414,360/1,737,497,448 = 1,737,497,448/x
  3. Step 3: Cross multiply
    834,414,360x = 1,737,497,448 × 1,737,497,448
  4. Step 4: Simplify right side
    834,414,360x = 3,018,897,381,806,512,640
  5. Step 5: Solve for x
    x = 3,018,897,381,806,512,640/834,414,360
  6. Step 6: Final answer
    x = 3,617,983,494.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.