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Finding the Third Proportional to 145,444 and 213,377

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Solution

The third proportional to 145,444 and 213,377 is: 313,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444 : 213,377 = 213,377 : x
  2. Step 2: Convert to fraction form
    145,444/213,377 = 213,377/x
  3. Step 3: Cross multiply
    145,444x = 213,377 × 213,377
  4. Step 4: Simplify right side
    145,444x = 45,529,744,129
  5. Step 5: Solve for x
    x = 45,529,744,129/145,444
  6. Step 6: Final answer
    x = 313,039.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.