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Finding the Third Proportional to 128,970 and 289,684

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Solution

The third proportional to 128,970 and 289,684 is: 650,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970 : 289,684 = 289,684 : x
  2. Step 2: Convert to fraction form
    128,970/289,684 = 289,684/x
  3. Step 3: Cross multiply
    128,970x = 289,684 × 289,684
  4. Step 4: Simplify right side
    128,970x = 83,916,819,856
  5. Step 5: Solve for x
    x = 83,916,819,856/128,970
  6. Step 6: Final answer
    x = 650,669.30

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.