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Finding the Third Proportional to 345,292 and 753,348

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Solution

The third proportional to 345,292 and 753,348 is: 1,643,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,292 : 753,348 = 753,348 : x
  2. Step 2: Convert to fraction form
    345,292/753,348 = 753,348/x
  3. Step 3: Cross multiply
    345,292x = 753,348 × 753,348
  4. Step 4: Simplify right side
    345,292x = 567,533,209,104
  5. Step 5: Solve for x
    x = 567,533,209,104/345,292
  6. Step 6: Final answer
    x = 1,643,632.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.