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Finding the Third Proportional to 207,467 and 309,871

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Solution

The third proportional to 207,467 and 309,871 is: 462,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,467 : 309,871 = 309,871 : x
  2. Step 2: Convert to fraction form
    207,467/309,871 = 309,871/x
  3. Step 3: Cross multiply
    207,467x = 309,871 × 309,871
  4. Step 4: Simplify right side
    207,467x = 96,020,036,641
  5. Step 5: Solve for x
    x = 96,020,036,641/207,467
  6. Step 6: Final answer
    x = 462,820.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.