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Finding the Third Proportional to 153,337 and 314,326

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Solution

The third proportional to 153,337 and 314,326 is: 644,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,337 : 314,326 = 314,326 : x
  2. Step 2: Convert to fraction form
    153,337/314,326 = 314,326/x
  3. Step 3: Cross multiply
    153,337x = 314,326 × 314,326
  4. Step 4: Simplify right side
    153,337x = 98,800,834,276
  5. Step 5: Solve for x
    x = 98,800,834,276/153,337
  6. Step 6: Final answer
    x = 644,337.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.