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Finding the Third Proportional to 291,918 and 621,501

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Solution

The third proportional to 291,918 and 621,501 is: 1,323,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,918 : 621,501 = 621,501 : x
  2. Step 2: Convert to fraction form
    291,918/621,501 = 621,501/x
  3. Step 3: Cross multiply
    291,918x = 621,501 × 621,501
  4. Step 4: Simplify right side
    291,918x = 386,263,493,001
  5. Step 5: Solve for x
    x = 386,263,493,001/291,918
  6. Step 6: Final answer
    x = 1,323,191.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.