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Finding the Third Proportional to 148,537 and 320,749

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Solution

The third proportional to 148,537 and 320,749 is: 692,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,537 : 320,749 = 320,749 : x
  2. Step 2: Convert to fraction form
    148,537/320,749 = 320,749/x
  3. Step 3: Cross multiply
    148,537x = 320,749 × 320,749
  4. Step 4: Simplify right side
    148,537x = 102,879,921,001
  5. Step 5: Solve for x
    x = 102,879,921,001/148,537
  6. Step 6: Final answer
    x = 692,621.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.