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Finding the Third Proportional to 145,514 and 212,614

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Solution

The third proportional to 145,514 and 212,614 is: 310,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,514 : 212,614 = 212,614 : x
  2. Step 2: Convert to fraction form
    145,514/212,614 = 212,614/x
  3. Step 3: Cross multiply
    145,514x = 212,614 × 212,614
  4. Step 4: Simplify right side
    145,514x = 45,204,712,996
  5. Step 5: Solve for x
    x = 45,204,712,996/145,514
  6. Step 6: Final answer
    x = 310,655.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.