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Finding the Third Proportional to 427,950 and 662,283

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Solution

The third proportional to 427,950 and 662,283 is: 1,024,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,950 : 662,283 = 662,283 : x
  2. Step 2: Convert to fraction form
    427,950/662,283 = 662,283/x
  3. Step 3: Cross multiply
    427,950x = 662,283 × 662,283
  4. Step 4: Simplify right side
    427,950x = 438,618,772,089
  5. Step 5: Solve for x
    x = 438,618,772,089/427,950
  6. Step 6: Final answer
    x = 1,024,929.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.