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Finding the Third Proportional to 240,363 and 556,425

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Solution

The third proportional to 240,363 and 556,425 is: 1,288,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,363 : 556,425 = 556,425 : x
  2. Step 2: Convert to fraction form
    240,363/556,425 = 556,425/x
  3. Step 3: Cross multiply
    240,363x = 556,425 × 556,425
  4. Step 4: Simplify right side
    240,363x = 309,608,780,625
  5. Step 5: Solve for x
    x = 309,608,780,625/240,363
  6. Step 6: Final answer
    x = 1,288,088.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.