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Finding the Third Proportional to 369,080 and 578,223

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Solution

The third proportional to 369,080 and 578,223 is: 905,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,080 : 578,223 = 578,223 : x
  2. Step 2: Convert to fraction form
    369,080/578,223 = 578,223/x
  3. Step 3: Cross multiply
    369,080x = 578,223 × 578,223
  4. Step 4: Simplify right side
    369,080x = 334,341,837,729
  5. Step 5: Solve for x
    x = 334,341,837,729/369,080
  6. Step 6: Final answer
    x = 905,879.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.