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Finding the Third Proportional to 369,768 and 528,408

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Solution

The third proportional to 369,768 and 528,408 is: 755,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,768 : 528,408 = 528,408 : x
  2. Step 2: Convert to fraction form
    369,768/528,408 = 528,408/x
  3. Step 3: Cross multiply
    369,768x = 528,408 × 528,408
  4. Step 4: Simplify right side
    369,768x = 279,215,014,464
  5. Step 5: Solve for x
    x = 279,215,014,464/369,768
  6. Step 6: Final answer
    x = 755,108.65

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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.