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Finding the Third Proportional to 270,493 and 578,510

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Solution

The third proportional to 270,493 and 578,510 is: 1,237,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,493 : 578,510 = 578,510 : x
  2. Step 2: Convert to fraction form
    270,493/578,510 = 578,510/x
  3. Step 3: Cross multiply
    270,493x = 578,510 × 578,510
  4. Step 4: Simplify right side
    270,493x = 334,673,820,100
  5. Step 5: Solve for x
    x = 334,673,820,100/270,493
  6. Step 6: Final answer
    x = 1,237,273.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.