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Finding the Third Proportional to 296,240 and 423,326

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Solution

The third proportional to 296,240 and 423,326 is: 604,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,240 : 423,326 = 423,326 : x
  2. Step 2: Convert to fraction form
    296,240/423,326 = 423,326/x
  3. Step 3: Cross multiply
    296,240x = 423,326 × 423,326
  4. Step 4: Simplify right side
    296,240x = 179,204,902,276
  5. Step 5: Solve for x
    x = 179,204,902,276/296,240
  6. Step 6: Final answer
    x = 604,931.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.