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Finding the Third Proportional to 811,063,791 and 1,665,124,515

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Solution

The third proportional to 811,063,791 and 1,665,124,515 is: 3,418,522,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,063,791 : 1,665,124,515 = 1,665,124,515 : x
  2. Step 2: Convert to fraction form
    811,063,791/1,665,124,515 = 1,665,124,515/x
  3. Step 3: Cross multiply
    811,063,791x = 1,665,124,515 × 1,665,124,515
  4. Step 4: Simplify right side
    811,063,791x = 2,772,639,650,453,985,280
  5. Step 5: Solve for x
    x = 2,772,639,650,453,985,280/811,063,791
  6. Step 6: Final answer
    x = 3,418,522,292.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.