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Finding the Third Proportional to 207,958 and 314,871

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Solution

The third proportional to 207,958 and 314,871 is: 476,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,958 : 314,871 = 314,871 : x
  2. Step 2: Convert to fraction form
    207,958/314,871 = 314,871/x
  3. Step 3: Cross multiply
    207,958x = 314,871 × 314,871
  4. Step 4: Simplify right side
    207,958x = 99,143,746,641
  5. Step 5: Solve for x
    x = 99,143,746,641/207,958
  6. Step 6: Final answer
    x = 476,748.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.