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Finding the Third Proportional to 145,348 and 313,628

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Solution

The third proportional to 145,348 and 313,628 is: 676,738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,348 : 313,628 = 313,628 : x
  2. Step 2: Convert to fraction form
    145,348/313,628 = 313,628/x
  3. Step 3: Cross multiply
    145,348x = 313,628 × 313,628
  4. Step 4: Simplify right side
    145,348x = 98,362,522,384
  5. Step 5: Solve for x
    x = 98,362,522,384/145,348
  6. Step 6: Final answer
    x = 676,738.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.