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Finding the Third Proportional to 149,888 and 310,341

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Solution

The third proportional to 149,888 and 310,341 is: 642,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888 : 310,341 = 310,341 : x
  2. Step 2: Convert to fraction form
    149,888/310,341 = 310,341/x
  3. Step 3: Cross multiply
    149,888x = 310,341 × 310,341
  4. Step 4: Simplify right side
    149,888x = 96,311,536,281
  5. Step 5: Solve for x
    x = 96,311,536,281/149,888
  6. Step 6: Final answer
    x = 642,556.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.