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Finding the Third Proportional to 291,027 and 434,748

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Solution

The third proportional to 291,027 and 434,748 is: 649,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,027 : 434,748 = 434,748 : x
  2. Step 2: Convert to fraction form
    291,027/434,748 = 434,748/x
  3. Step 3: Cross multiply
    291,027x = 434,748 × 434,748
  4. Step 4: Simplify right side
    291,027x = 189,005,823,504
  5. Step 5: Solve for x
    x = 189,005,823,504/291,027
  6. Step 6: Final answer
    x = 649,444.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.