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Finding the Third Proportional to 213,700 and 338,389

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Solution

The third proportional to 213,700 and 338,389 is: 535,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,700 : 338,389 = 338,389 : x
  2. Step 2: Convert to fraction form
    213,700/338,389 = 338,389/x
  3. Step 3: Cross multiply
    213,700x = 338,389 × 338,389
  4. Step 4: Simplify right side
    213,700x = 114,507,115,321
  5. Step 5: Solve for x
    x = 114,507,115,321/213,700
  6. Step 6: Final answer
    x = 535,831.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.