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Finding the Third Proportional to 840,512 and 1,291,864

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Solution

The third proportional to 840,512 and 1,291,864 is: 1,985,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,512 : 1,291,864 = 1,291,864 : x
  2. Step 2: Convert to fraction form
    840,512/1,291,864 = 1,291,864/x
  3. Step 3: Cross multiply
    840,512x = 1,291,864 × 1,291,864
  4. Step 4: Simplify right side
    840,512x = 1,668,912,594,496
  5. Step 5: Solve for x
    x = 1,668,912,594,496/840,512
  6. Step 6: Final answer
    x = 1,985,590.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.