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Finding the Third Proportional to 148,657 and 309,627

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Solution

The third proportional to 148,657 and 309,627 is: 644,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,657 : 309,627 = 309,627 : x
  2. Step 2: Convert to fraction form
    148,657/309,627 = 309,627/x
  3. Step 3: Cross multiply
    148,657x = 309,627 × 309,627
  4. Step 4: Simplify right side
    148,657x = 95,868,879,129
  5. Step 5: Solve for x
    x = 95,868,879,129/148,657
  6. Step 6: Final answer
    x = 644,899.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.