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Finding the Third Proportional to 240,357 and 556,410

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Solution

The third proportional to 240,357 and 556,410 is: 1,288,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,357 : 556,410 = 556,410 : x
  2. Step 2: Convert to fraction form
    240,357/556,410 = 556,410/x
  3. Step 3: Cross multiply
    240,357x = 556,410 × 556,410
  4. Step 4: Simplify right side
    240,357x = 309,592,088,100
  5. Step 5: Solve for x
    x = 309,592,088,100/240,357
  6. Step 6: Final answer
    x = 1,288,051.06

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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.