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Finding the Third Proportional to 402,957 and 847,284

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Solution

The third proportional to 402,957 and 847,284 is: 1,781,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,957 : 847,284 = 847,284 : x
  2. Step 2: Convert to fraction form
    402,957/847,284 = 847,284/x
  3. Step 3: Cross multiply
    402,957x = 847,284 × 847,284
  4. Step 4: Simplify right side
    402,957x = 717,890,176,656
  5. Step 5: Solve for x
    x = 717,890,176,656/402,957
  6. Step 6: Final answer
    x = 1,781,555.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.