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Finding the Third Proportional to 239,820 and 512,871

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Solution

The third proportional to 239,820 and 512,871 is: 1,096,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,820 : 512,871 = 512,871 : x
  2. Step 2: Convert to fraction form
    239,820/512,871 = 512,871/x
  3. Step 3: Cross multiply
    239,820x = 512,871 × 512,871
  4. Step 4: Simplify right side
    239,820x = 263,036,662,641
  5. Step 5: Solve for x
    x = 263,036,662,641/239,820
  6. Step 6: Final answer
    x = 1,096,808.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.