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Finding the Third Proportional to 349,308 and 713,272

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Solution

The third proportional to 349,308 and 713,272 is: 1,456,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,308 : 713,272 = 713,272 : x
  2. Step 2: Convert to fraction form
    349,308/713,272 = 713,272/x
  3. Step 3: Cross multiply
    349,308x = 713,272 × 713,272
  4. Step 4: Simplify right side
    349,308x = 508,756,945,984
  5. Step 5: Solve for x
    x = 508,756,945,984/349,308
  6. Step 6: Final answer
    x = 1,456,470.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.