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Finding the Third Proportional to 221,492 and 474,455

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Solution

The third proportional to 221,492 and 474,455 is: 1,016,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,492 : 474,455 = 474,455 : x
  2. Step 2: Convert to fraction form
    221,492/474,455 = 474,455/x
  3. Step 3: Cross multiply
    221,492x = 474,455 × 474,455
  4. Step 4: Simplify right side
    221,492x = 225,107,547,025
  5. Step 5: Solve for x
    x = 225,107,547,025/221,492
  6. Step 6: Final answer
    x = 1,016,323.60

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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.