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Finding the Third Proportional to 218,582 and 480,040

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Solution

The third proportional to 218,582 and 480,040 is: 1,054,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,582 : 480,040 = 480,040 : x
  2. Step 2: Convert to fraction form
    218,582/480,040 = 480,040/x
  3. Step 3: Cross multiply
    218,582x = 480,040 × 480,040
  4. Step 4: Simplify right side
    218,582x = 230,438,401,600
  5. Step 5: Solve for x
    x = 230,438,401,600/218,582
  6. Step 6: Final answer
    x = 1,054,242.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.