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Finding the Third Proportional to 345,343.50 and 532,767.38

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Solution

The third proportional to 345,343.50 and 532,767.38 is: 821,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,343.50 : 532,767.38 = 532,767.38 : x
  2. Step 2: Convert to fraction form
    345,343.50/532,767.38 = 532,767.38/x
  3. Step 3: Cross multiply
    345,343.50x = 532,767.38 × 532,767.38
  4. Step 4: Simplify right side
    345,343.50x = 283,841,075,864.39
  5. Step 5: Solve for x
    x = 283,841,075,864.39/345,343.50
  6. Step 6: Final answer
    x = 821,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.