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Finding the Third Proportional to 421,748 and 878,494

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Solution

The third proportional to 421,748 and 878,494 is: 1,829,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,748 : 878,494 = 878,494 : x
  2. Step 2: Convert to fraction form
    421,748/878,494 = 878,494/x
  3. Step 3: Cross multiply
    421,748x = 878,494 × 878,494
  4. Step 4: Simplify right side
    421,748x = 771,751,708,036
  5. Step 5: Solve for x
    x = 771,751,708,036/421,748
  6. Step 6: Final answer
    x = 1,829,888.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.