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Finding the Third Proportional to 376,778 and 528,057

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Solution

The third proportional to 376,778 and 528,057 is: 740,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,778 : 528,057 = 528,057 : x
  2. Step 2: Convert to fraction form
    376,778/528,057 = 528,057/x
  3. Step 3: Cross multiply
    376,778x = 528,057 × 528,057
  4. Step 4: Simplify right side
    376,778x = 278,844,195,249
  5. Step 5: Solve for x
    x = 278,844,195,249/376,778
  6. Step 6: Final answer
    x = 740,075.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.