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Finding the Third Proportional to 133,085 and 288,774

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Solution

The third proportional to 133,085 and 288,774 is: 626,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,085 : 288,774 = 288,774 : x
  2. Step 2: Convert to fraction form
    133,085/288,774 = 288,774/x
  3. Step 3: Cross multiply
    133,085x = 288,774 × 288,774
  4. Step 4: Simplify right side
    133,085x = 83,390,423,076
  5. Step 5: Solve for x
    x = 83,390,423,076/133,085
  6. Step 6: Final answer
    x = 626,595.21

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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.