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Finding the Third Proportional to 240,709 and 336,511

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Solution

The third proportional to 240,709 and 336,511 is: 470,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,709 : 336,511 = 336,511 : x
  2. Step 2: Convert to fraction form
    240,709/336,511 = 336,511/x
  3. Step 3: Cross multiply
    240,709x = 336,511 × 336,511
  4. Step 4: Simplify right side
    240,709x = 113,239,653,121
  5. Step 5: Solve for x
    x = 113,239,653,121/240,709
  6. Step 6: Final answer
    x = 470,442.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.