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Finding the Third Proportional to 145,439 and 213,370

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Solution

The third proportional to 145,439 and 213,370 is: 313,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,439 : 213,370 = 213,370 : x
  2. Step 2: Convert to fraction form
    145,439/213,370 = 213,370/x
  3. Step 3: Cross multiply
    145,439x = 213,370 × 213,370
  4. Step 4: Simplify right side
    145,439x = 45,526,756,900
  5. Step 5: Solve for x
    x = 45,526,756,900/145,439
  6. Step 6: Final answer
    x = 313,029.91

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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.