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Finding the Third Proportional to 146,140 and 313,306

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Solution

The third proportional to 146,140 and 313,306 is: 671,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,140 : 313,306 = 313,306 : x
  2. Step 2: Convert to fraction form
    146,140/313,306 = 313,306/x
  3. Step 3: Cross multiply
    146,140x = 313,306 × 313,306
  4. Step 4: Simplify right side
    146,140x = 98,160,649,636
  5. Step 5: Solve for x
    x = 98,160,649,636/146,140
  6. Step 6: Final answer
    x = 671,689.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.