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Finding the Third Proportional to 145,220 and 313,383

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Solution

The third proportional to 145,220 and 313,383 is: 676,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,220 : 313,383 = 313,383 : x
  2. Step 2: Convert to fraction form
    145,220/313,383 = 313,383/x
  3. Step 3: Cross multiply
    145,220x = 313,383 × 313,383
  4. Step 4: Simplify right side
    145,220x = 98,208,904,689
  5. Step 5: Solve for x
    x = 98,208,904,689/145,220
  6. Step 6: Final answer
    x = 676,276.72

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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.