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Finding the Third Proportional to 528,021 and 756,657

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Solution

The third proportional to 528,021 and 756,657 is: 1,084,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,021 : 756,657 = 756,657 : x
  2. Step 2: Convert to fraction form
    528,021/756,657 = 756,657/x
  3. Step 3: Cross multiply
    528,021x = 756,657 × 756,657
  4. Step 4: Simplify right side
    528,021x = 572,529,815,649
  5. Step 5: Solve for x
    x = 572,529,815,649/528,021
  6. Step 6: Final answer
    x = 1,084,293.65

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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.