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Finding the Third Proportional to 387,234 and 838,820

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Solution

The third proportional to 387,234 and 838,820 is: 1,817,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234 : 838,820 = 838,820 : x
  2. Step 2: Convert to fraction form
    387,234/838,820 = 838,820/x
  3. Step 3: Cross multiply
    387,234x = 838,820 × 838,820
  4. Step 4: Simplify right side
    387,234x = 703,618,992,400
  5. Step 5: Solve for x
    x = 703,618,992,400/387,234
  6. Step 6: Final answer
    x = 1,817,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.