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Finding the Third Proportional to 425,762 and 638,706

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Solution

The third proportional to 425,762 and 638,706 is: 958,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,762 : 638,706 = 638,706 : x
  2. Step 2: Convert to fraction form
    425,762/638,706 = 638,706/x
  3. Step 3: Cross multiply
    425,762x = 638,706 × 638,706
  4. Step 4: Simplify right side
    425,762x = 407,945,354,436
  5. Step 5: Solve for x
    x = 407,945,354,436/425,762
  6. Step 6: Final answer
    x = 958,153.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.