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Finding the Third Proportional to 266,598 and 578,394

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Solution

The third proportional to 266,598 and 578,394 is: 1,254,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,598 : 578,394 = 578,394 : x
  2. Step 2: Convert to fraction form
    266,598/578,394 = 578,394/x
  3. Step 3: Cross multiply
    266,598x = 578,394 × 578,394
  4. Step 4: Simplify right side
    266,598x = 334,539,619,236
  5. Step 5: Solve for x
    x = 334,539,619,236/266,598
  6. Step 6: Final answer
    x = 1,254,846.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.