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Finding the Third Proportional to 402,350 and 876,842

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Solution

The third proportional to 402,350 and 876,842 is: 1,910,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,350 : 876,842 = 876,842 : x
  2. Step 2: Convert to fraction form
    402,350/876,842 = 876,842/x
  3. Step 3: Cross multiply
    402,350x = 876,842 × 876,842
  4. Step 4: Simplify right side
    402,350x = 768,851,892,964
  5. Step 5: Solve for x
    x = 768,851,892,964/402,350
  6. Step 6: Final answer
    x = 1,910,903.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.