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Finding the Third Proportional to 288,308 and 431,308

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Solution

The third proportional to 288,308 and 431,308 is: 645,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308 : 431,308 = 431,308 : x
  2. Step 2: Convert to fraction form
    288,308/431,308 = 431,308/x
  3. Step 3: Cross multiply
    288,308x = 431,308 × 431,308
  4. Step 4: Simplify right side
    288,308x = 186,026,590,864
  5. Step 5: Solve for x
    x = 186,026,590,864/288,308
  6. Step 6: Final answer
    x = 645,235.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.