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Finding the Third Proportional to 286,222 and 420,580

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Solution

The third proportional to 286,222 and 420,580 is: 618,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,222 : 420,580 = 420,580 : x
  2. Step 2: Convert to fraction form
    286,222/420,580 = 420,580/x
  3. Step 3: Cross multiply
    286,222x = 420,580 × 420,580
  4. Step 4: Simplify right side
    286,222x = 176,887,536,400
  5. Step 5: Solve for x
    x = 176,887,536,400/286,222
  6. Step 6: Final answer
    x = 618,008.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.