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Finding the Third Proportional to 264,550 and 578,780

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Solution

The third proportional to 264,550 and 578,780 is: 1,266,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,550 : 578,780 = 578,780 : x
  2. Step 2: Convert to fraction form
    264,550/578,780 = 578,780/x
  3. Step 3: Cross multiply
    264,550x = 578,780 × 578,780
  4. Step 4: Simplify right side
    264,550x = 334,986,288,400
  5. Step 5: Solve for x
    x = 334,986,288,400/264,550
  6. Step 6: Final answer
    x = 1,266,249.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.