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Finding the Third Proportional to 878,407 and 1,289,908

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Solution

The third proportional to 878,407 and 1,289,908 is: 1,894,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,407 : 1,289,908 = 1,289,908 : x
  2. Step 2: Convert to fraction form
    878,407/1,289,908 = 1,289,908/x
  3. Step 3: Cross multiply
    878,407x = 1,289,908 × 1,289,908
  4. Step 4: Simplify right side
    878,407x = 1,663,862,648,464
  5. Step 5: Solve for x
    x = 1,663,862,648,464/878,407
  6. Step 6: Final answer
    x = 1,894,181.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.