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Finding the Third Proportional to 216,790 and 340,527

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Solution

The third proportional to 216,790 and 340,527 is: 534,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,790 : 340,527 = 340,527 : x
  2. Step 2: Convert to fraction form
    216,790/340,527 = 340,527/x
  3. Step 3: Cross multiply
    216,790x = 340,527 × 340,527
  4. Step 4: Simplify right side
    216,790x = 115,958,637,729
  5. Step 5: Solve for x
    x = 115,958,637,729/216,790
  6. Step 6: Final answer
    x = 534,889.24

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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.