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Finding the Third Proportional to 290,437.69 and 629,126.13

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Solution

The third proportional to 290,437.69 and 629,126.13 is: 1,362,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,437.69 : 629,126.13 = 629,126.13 : x
  2. Step 2: Convert to fraction form
    290,437.69/629,126.13 = 629,126.13/x
  3. Step 3: Cross multiply
    290,437.69x = 629,126.13 × 629,126.13
  4. Step 4: Simplify right side
    290,437.69x = 395,799,681,157.52
  5. Step 5: Solve for x
    x = 395,799,681,157.52/290,437.69
  6. Step 6: Final answer
    x = 1,362,769.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.