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Finding the Third Proportional to 291,066 and 434,808

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Solution

The third proportional to 291,066 and 434,808 is: 649,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,066 : 434,808 = 434,808 : x
  2. Step 2: Convert to fraction form
    291,066/434,808 = 434,808/x
  3. Step 3: Cross multiply
    291,066x = 434,808 × 434,808
  4. Step 4: Simplify right side
    291,066x = 189,057,996,864
  5. Step 5: Solve for x
    x = 189,057,996,864/291,066
  6. Step 6: Final answer
    x = 649,536.52

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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.