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Finding the Third Proportional to 528,038 and 818,031

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Solution

The third proportional to 528,038 and 818,031 is: 1,267,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,038 : 818,031 = 818,031 : x
  2. Step 2: Convert to fraction form
    528,038/818,031 = 818,031/x
  3. Step 3: Cross multiply
    528,038x = 818,031 × 818,031
  4. Step 4: Simplify right side
    528,038x = 669,174,716,961
  5. Step 5: Solve for x
    x = 669,174,716,961/528,038
  6. Step 6: Final answer
    x = 1,267,285.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.