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Finding the Third Proportional to 216,308 and 289,342

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Solution

The third proportional to 216,308 and 289,342 is: 387,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,308 : 289,342 = 289,342 : x
  2. Step 2: Convert to fraction form
    216,308/289,342 = 289,342/x
  3. Step 3: Cross multiply
    216,308x = 289,342 × 289,342
  4. Step 4: Simplify right side
    216,308x = 83,718,792,964
  5. Step 5: Solve for x
    x = 83,718,792,964/216,308
  6. Step 6: Final answer
    x = 387,035.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.