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Finding the Third Proportional to 216,513 and 340,119

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Solution

The third proportional to 216,513 and 340,119 is: 534,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513 : 340,119 = 340,119 : x
  2. Step 2: Convert to fraction form
    216,513/340,119 = 340,119/x
  3. Step 3: Cross multiply
    216,513x = 340,119 × 340,119
  4. Step 4: Simplify right side
    216,513x = 115,680,934,161
  5. Step 5: Solve for x
    x = 115,680,934,161/216,513
  6. Step 6: Final answer
    x = 534,290.94

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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.