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Finding the Third Proportional to 145,920 and 225,354

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Solution

The third proportional to 145,920 and 225,354 is: 348,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,920 : 225,354 = 225,354 : x
  2. Step 2: Convert to fraction form
    145,920/225,354 = 225,354/x
  3. Step 3: Cross multiply
    145,920x = 225,354 × 225,354
  4. Step 4: Simplify right side
    145,920x = 50,784,425,316
  5. Step 5: Solve for x
    x = 50,784,425,316/145,920
  6. Step 6: Final answer
    x = 348,029.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.