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Finding the Third Proportional to 135,323 and 289,417

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Solution

The third proportional to 135,323 and 289,417 is: 618,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,323 : 289,417 = 289,417 : x
  2. Step 2: Convert to fraction form
    135,323/289,417 = 289,417/x
  3. Step 3: Cross multiply
    135,323x = 289,417 × 289,417
  4. Step 4: Simplify right side
    135,323x = 83,762,199,889
  5. Step 5: Solve for x
    x = 83,762,199,889/135,323
  6. Step 6: Final answer
    x = 618,979.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.