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Finding the Third Proportional to 369,103.50 and 578,252.25

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Solution

The third proportional to 369,103.50 and 578,252.25 is: 905,913.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,103.50 : 578,252.25 = 578,252.25 : x
  2. Step 2: Convert to fraction form
    369,103.50/578,252.25 = 578,252.25/x
  3. Step 3: Cross multiply
    369,103.50x = 578,252.25 × 578,252.25
  4. Step 4: Simplify right side
    369,103.50x = 334,375,664,630.06
  5. Step 5: Solve for x
    x = 334,375,664,630.06/369,103.50
  6. Step 6: Final answer
    x = 905,913.02

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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.