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Finding the Third Proportional to 477,272 and 668,982

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Solution

The third proportional to 477,272 and 668,982 is: 937,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,272 : 668,982 = 668,982 : x
  2. Step 2: Convert to fraction form
    477,272/668,982 = 668,982/x
  3. Step 3: Cross multiply
    477,272x = 668,982 × 668,982
  4. Step 4: Simplify right side
    477,272x = 447,536,916,324
  5. Step 5: Solve for x
    x = 447,536,916,324/477,272
  6. Step 6: Final answer
    x = 937,697.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.