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Finding the Third Proportional to 145,439 and 213,369

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Solution

The third proportional to 145,439 and 213,369 is: 313,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,439 : 213,369 = 213,369 : x
  2. Step 2: Convert to fraction form
    145,439/213,369 = 213,369/x
  3. Step 3: Cross multiply
    145,439x = 213,369 × 213,369
  4. Step 4: Simplify right side
    145,439x = 45,526,330,161
  5. Step 5: Solve for x
    x = 45,526,330,161/145,439
  6. Step 6: Final answer
    x = 313,026.97

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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.