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Finding the Third Proportional to 398,788 and 875,070

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Solution

The third proportional to 398,788 and 875,070 is: 1,920,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,788 : 875,070 = 875,070 : x
  2. Step 2: Convert to fraction form
    398,788/875,070 = 875,070/x
  3. Step 3: Cross multiply
    398,788x = 875,070 × 875,070
  4. Step 4: Simplify right side
    398,788x = 765,747,504,900
  5. Step 5: Solve for x
    x = 765,747,504,900/398,788
  6. Step 6: Final answer
    x = 1,920,186.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.