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Finding the Third Proportional to 369,078 and 578,220

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Solution

The third proportional to 369,078 and 578,220 is: 905,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,078 : 578,220 = 578,220 : x
  2. Step 2: Convert to fraction form
    369,078/578,220 = 578,220/x
  3. Step 3: Cross multiply
    369,078x = 578,220 × 578,220
  4. Step 4: Simplify right side
    369,078x = 334,338,368,400
  5. Step 5: Solve for x
    x = 334,338,368,400/369,078
  6. Step 6: Final answer
    x = 905,874.55

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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.