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Finding the Third Proportional to 240,705 and 336,495

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Solution

The third proportional to 240,705 and 336,495 is: 470,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,705 : 336,495 = 336,495 : x
  2. Step 2: Convert to fraction form
    240,705/336,495 = 336,495/x
  3. Step 3: Cross multiply
    240,705x = 336,495 × 336,495
  4. Step 4: Simplify right side
    240,705x = 113,228,885,025
  5. Step 5: Solve for x
    x = 113,228,885,025/240,705
  6. Step 6: Final answer
    x = 470,405.21

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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.