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Finding the Third Proportional to 638,391,932 and 1,375,264,312

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Solution

The third proportional to 638,391,932 and 1,375,264,312 is: 2,962,681,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,391,932 : 1,375,264,312 = 1,375,264,312 : x
  2. Step 2: Convert to fraction form
    638,391,932/1,375,264,312 = 1,375,264,312/x
  3. Step 3: Cross multiply
    638,391,932x = 1,375,264,312 × 1,375,264,312
  4. Step 4: Simplify right side
    638,391,932x = 1,891,351,927,860,833,280
  5. Step 5: Solve for x
    x = 1,891,351,927,860,833,280/638,391,932
  6. Step 6: Final answer
    x = 2,962,681,439.18

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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.