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Finding the Third Proportional to 345,068 and 528,524

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Solution

The third proportional to 345,068 and 528,524 is: 809,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,068 : 528,524 = 528,524 : x
  2. Step 2: Convert to fraction form
    345,068/528,524 = 528,524/x
  3. Step 3: Cross multiply
    345,068x = 528,524 × 528,524
  4. Step 4: Simplify right side
    345,068x = 279,337,618,576
  5. Step 5: Solve for x
    x = 279,337,618,576/345,068
  6. Step 6: Final answer
    x = 809,514.70

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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.