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Finding the Third Proportional to 340,344 and 487,152

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Solution

The third proportional to 340,344 and 487,152 is: 697,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,344 : 487,152 = 487,152 : x
  2. Step 2: Convert to fraction form
    340,344/487,152 = 487,152/x
  3. Step 3: Cross multiply
    340,344x = 487,152 × 487,152
  4. Step 4: Simplify right side
    340,344x = 237,317,071,104
  5. Step 5: Solve for x
    x = 237,317,071,104/340,344
  6. Step 6: Final answer
    x = 697,285.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.