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Finding the Third Proportional to 353,280 and 528,576

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Solution

The third proportional to 353,280 and 528,576 is: 790,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,280 : 528,576 = 528,576 : x
  2. Step 2: Convert to fraction form
    353,280/528,576 = 528,576/x
  3. Step 3: Cross multiply
    353,280x = 528,576 × 528,576
  4. Step 4: Simplify right side
    353,280x = 279,392,587,776
  5. Step 5: Solve for x
    x = 279,392,587,776/353,280
  6. Step 6: Final answer
    x = 790,853.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.