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Finding the Third Proportional to 345,075.75 and 529,665.75

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Solution

The third proportional to 345,075.75 and 529,665.75 is: 812,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,075.75 : 529,665.75 = 529,665.75 : x
  2. Step 2: Convert to fraction form
    345,075.75/529,665.75 = 529,665.75/x
  3. Step 3: Cross multiply
    345,075.75x = 529,665.75 × 529,665.75
  4. Step 4: Simplify right side
    345,075.75x = 280,545,806,723.06
  5. Step 5: Solve for x
    x = 280,545,806,723.06/345,075.75
  6. Step 6: Final answer
    x = 812,997.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.