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Finding the Third Proportional to 291,332 and 419,772

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Solution

The third proportional to 291,332 and 419,772 is: 604,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,332 : 419,772 = 419,772 : x
  2. Step 2: Convert to fraction form
    291,332/419,772 = 419,772/x
  3. Step 3: Cross multiply
    291,332x = 419,772 × 419,772
  4. Step 4: Simplify right side
    291,332x = 176,208,531,984
  5. Step 5: Solve for x
    x = 176,208,531,984/291,332
  6. Step 6: Final answer
    x = 604,837.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.