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Finding the Third Proportional to 478,082 and 670,023

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Solution

The third proportional to 478,082 and 670,023 is: 939,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,082 : 670,023 = 670,023 : x
  2. Step 2: Convert to fraction form
    478,082/670,023 = 670,023/x
  3. Step 3: Cross multiply
    478,082x = 670,023 × 670,023
  4. Step 4: Simplify right side
    478,082x = 448,930,820,529
  5. Step 5: Solve for x
    x = 448,930,820,529/478,082
  6. Step 6: Final answer
    x = 939,024.73

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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.