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Finding the Third Proportional to 316,099 and 472,276

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Solution

The third proportional to 316,099 and 472,276 is: 705,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,099 : 472,276 = 472,276 : x
  2. Step 2: Convert to fraction form
    316,099/472,276 = 472,276/x
  3. Step 3: Cross multiply
    316,099x = 472,276 × 472,276
  4. Step 4: Simplify right side
    316,099x = 223,044,620,176
  5. Step 5: Solve for x
    x = 223,044,620,176/316,099
  6. Step 6: Final answer
    x = 705,616.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.