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Finding the Third Proportional to 357,863,781 and 782,715,210

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Solution

The third proportional to 357,863,781 and 782,715,210 is: 1,711,944,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863,781 : 782,715,210 = 782,715,210 : x
  2. Step 2: Convert to fraction form
    357,863,781/782,715,210 = 782,715,210/x
  3. Step 3: Cross multiply
    357,863,781x = 782,715,210 × 782,715,210
  4. Step 4: Simplify right side
    357,863,781x = 612,643,099,965,344,128
  5. Step 5: Solve for x
    x = 612,643,099,965,344,128/357,863,781
  6. Step 6: Final answer
    x = 1,711,944,970.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.