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Finding the Third Proportional to 369,117 and 565,866

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Solution

The third proportional to 369,117 and 565,866 is: 867,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,117 : 565,866 = 565,866 : x
  2. Step 2: Convert to fraction form
    369,117/565,866 = 565,866/x
  3. Step 3: Cross multiply
    369,117x = 565,866 × 565,866
  4. Step 4: Simplify right side
    369,117x = 320,204,329,956
  5. Step 5: Solve for x
    x = 320,204,329,956/369,117
  6. Step 6: Final answer
    x = 867,487.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.