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Finding the Third Proportional to 402,988 and 847,340

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Solution

The third proportional to 402,988 and 847,340 is: 1,781,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,988 : 847,340 = 847,340 : x
  2. Step 2: Convert to fraction form
    402,988/847,340 = 847,340/x
  3. Step 3: Cross multiply
    402,988x = 847,340 × 847,340
  4. Step 4: Simplify right side
    402,988x = 717,985,075,600
  5. Step 5: Solve for x
    x = 717,985,075,600/402,988
  6. Step 6: Final answer
    x = 1,781,653.74

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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.