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Finding the Third Proportional to 240,368 and 556,438

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Solution

The third proportional to 240,368 and 556,438 is: 1,288,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,368 : 556,438 = 556,438 : x
  2. Step 2: Convert to fraction form
    240,368/556,438 = 556,438/x
  3. Step 3: Cross multiply
    240,368x = 556,438 × 556,438
  4. Step 4: Simplify right side
    240,368x = 309,623,247,844
  5. Step 5: Solve for x
    x = 309,623,247,844/240,368
  6. Step 6: Final answer
    x = 1,288,121.75

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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.