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Finding the Third Proportional to 216,764 and 340,482

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Solution

The third proportional to 216,764 and 340,482 is: 534,812.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,764 : 340,482 = 340,482 : x
  2. Step 2: Convert to fraction form
    216,764/340,482 = 340,482/x
  3. Step 3: Cross multiply
    216,764x = 340,482 × 340,482
  4. Step 4: Simplify right side
    216,764x = 115,927,992,324
  5. Step 5: Solve for x
    x = 115,927,992,324/216,764
  6. Step 6: Final answer
    x = 534,812.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.