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Finding the Third Proportional to 148,539 and 320,752.50

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Solution

The third proportional to 148,539 and 320,752.50 is: 692,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,539 : 320,752.50 = 320,752.50 : x
  2. Step 2: Convert to fraction form
    148,539/320,752.50 = 320,752.50/x
  3. Step 3: Cross multiply
    148,539x = 320,752.50 × 320,752.50
  4. Step 4: Simplify right side
    148,539x = 102,882,166,256.25
  5. Step 5: Solve for x
    x = 102,882,166,256.25/148,539
  6. Step 6: Final answer
    x = 692,627.30

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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.