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Finding the Third Proportional to 140,348 and 306,940

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Solution

The third proportional to 140,348 and 306,940 is: 671,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,348 : 306,940 = 306,940 : x
  2. Step 2: Convert to fraction form
    140,348/306,940 = 306,940/x
  3. Step 3: Cross multiply
    140,348x = 306,940 × 306,940
  4. Step 4: Simplify right side
    140,348x = 94,212,163,600
  5. Step 5: Solve for x
    x = 94,212,163,600/140,348
  6. Step 6: Final answer
    x = 671,275.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.