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Finding the Third Proportional to 369,289 and 528,045

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Solution

The third proportional to 369,289 and 528,045 is: 755,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,289 : 528,045 = 528,045 : x
  2. Step 2: Convert to fraction form
    369,289/528,045 = 528,045/x
  3. Step 3: Cross multiply
    369,289x = 528,045 × 528,045
  4. Step 4: Simplify right side
    369,289x = 278,831,522,025
  5. Step 5: Solve for x
    x = 278,831,522,025/369,289
  6. Step 6: Final answer
    x = 755,049.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.