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Finding the Third Proportional to 349,448.06 and 478,191.38

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Solution

The third proportional to 349,448.06 and 478,191.38 is: 654,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,448.06 : 478,191.38 = 478,191.38 : x
  2. Step 2: Convert to fraction form
    349,448.06/478,191.38 = 478,191.38/x
  3. Step 3: Cross multiply
    349,448.06x = 478,191.38 × 478,191.38
  4. Step 4: Simplify right side
    349,448.06x = 228,666,991,124.39
  5. Step 5: Solve for x
    x = 228,666,991,124.39/349,448.06
  6. Step 6: Final answer
    x = 654,366.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.