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Finding the Third Proportional to 264,310 and 425,580

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Solution

The third proportional to 264,310 and 425,580 is: 685,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,310 : 425,580 = 425,580 : x
  2. Step 2: Convert to fraction form
    264,310/425,580 = 425,580/x
  3. Step 3: Cross multiply
    264,310x = 425,580 × 425,580
  4. Step 4: Simplify right side
    264,310x = 181,118,336,400
  5. Step 5: Solve for x
    x = 181,118,336,400/264,310
  6. Step 6: Final answer
    x = 685,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.