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Finding the Third Proportional to 221,445 and 480,402

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Solution

The third proportional to 221,445 and 480,402 is: 1,042,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,445 : 480,402 = 480,402 : x
  2. Step 2: Convert to fraction form
    221,445/480,402 = 480,402/x
  3. Step 3: Cross multiply
    221,445x = 480,402 × 480,402
  4. Step 4: Simplify right side
    221,445x = 230,786,081,604
  5. Step 5: Solve for x
    x = 230,786,081,604/221,445
  6. Step 6: Final answer
    x = 1,042,182.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.