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Finding the Third Proportional to 400,866,432 and 838,384,210

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Solution

The third proportional to 400,866,432 and 838,384,210 is: 1,753,422,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,866,432 : 838,384,210 = 838,384,210 : x
  2. Step 2: Convert to fraction form
    400,866,432/838,384,210 = 838,384,210/x
  3. Step 3: Cross multiply
    400,866,432x = 838,384,210 × 838,384,210
  4. Step 4: Simplify right side
    400,866,432x = 702,888,083,577,324,160
  5. Step 5: Solve for x
    x = 702,888,083,577,324,160/400,866,432
  6. Step 6: Final answer
    x = 1,753,422,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.