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Finding the Third Proportional to 253,710 and 379,959

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Solution

The third proportional to 253,710 and 379,959 is: 569,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,710 : 379,959 = 379,959 : x
  2. Step 2: Convert to fraction form
    253,710/379,959 = 379,959/x
  3. Step 3: Cross multiply
    253,710x = 379,959 × 379,959
  4. Step 4: Simplify right side
    253,710x = 144,368,841,681
  5. Step 5: Solve for x
    x = 144,368,841,681/253,710
  6. Step 6: Final answer
    x = 569,030.95

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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.