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Finding the Third Proportional to 133,359 and 289,613

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Solution

The third proportional to 133,359 and 289,613 is: 628,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,359 : 289,613 = 289,613 : x
  2. Step 2: Convert to fraction form
    133,359/289,613 = 289,613/x
  3. Step 3: Cross multiply
    133,359x = 289,613 × 289,613
  4. Step 4: Simplify right side
    133,359x = 83,875,689,769
  5. Step 5: Solve for x
    x = 83,875,689,769/133,359
  6. Step 6: Final answer
    x = 628,946.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.