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Finding the Third Proportional to 221,315 and 474,871

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Solution

The third proportional to 221,315 and 474,871 is: 1,018,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,315 : 474,871 = 474,871 : x
  2. Step 2: Convert to fraction form
    221,315/474,871 = 474,871/x
  3. Step 3: Cross multiply
    221,315x = 474,871 × 474,871
  4. Step 4: Simplify right side
    221,315x = 225,502,466,641
  5. Step 5: Solve for x
    x = 225,502,466,641/221,315
  6. Step 6: Final answer
    x = 1,018,920.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.