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Finding the Third Proportional to 319,108 and 472,354

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Solution

The third proportional to 319,108 and 472,354 is: 699,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,108 : 472,354 = 472,354 : x
  2. Step 2: Convert to fraction form
    319,108/472,354 = 472,354/x
  3. Step 3: Cross multiply
    319,108x = 472,354 × 472,354
  4. Step 4: Simplify right side
    319,108x = 223,118,301,316
  5. Step 5: Solve for x
    x = 223,118,301,316/319,108
  6. Step 6: Final answer
    x = 699,193.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.