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Finding the Third Proportional to 290,344 and 607,294

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Solution

The third proportional to 290,344 and 607,294 is: 1,270,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,344 : 607,294 = 607,294 : x
  2. Step 2: Convert to fraction form
    290,344/607,294 = 607,294/x
  3. Step 3: Cross multiply
    290,344x = 607,294 × 607,294
  4. Step 4: Simplify right side
    290,344x = 368,806,002,436
  5. Step 5: Solve for x
    x = 368,806,002,436/290,344
  6. Step 6: Final answer
    x = 1,270,238.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.