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Finding the Third Proportional to 252,470 and 379,352.50

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Solution

The third proportional to 252,470 and 379,352.50 is: 570,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,470 : 379,352.50 = 379,352.50 : x
  2. Step 2: Convert to fraction form
    252,470/379,352.50 = 379,352.50/x
  3. Step 3: Cross multiply
    252,470x = 379,352.50 × 379,352.50
  4. Step 4: Simplify right side
    252,470x = 143,908,319,256.25
  5. Step 5: Solve for x
    x = 143,908,319,256.25/252,470
  6. Step 6: Final answer
    x = 570,001.66

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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.