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Finding the Third Proportional to 90,904 and 212,312

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Solution

The third proportional to 90,904 and 212,312 is: 495,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,904 : 212,312 = 212,312 : x
  2. Step 2: Convert to fraction form
    90,904/212,312 = 212,312/x
  3. Step 3: Cross multiply
    90,904x = 212,312 × 212,312
  4. Step 4: Simplify right side
    90,904x = 45,076,385,344
  5. Step 5: Solve for x
    x = 45,076,385,344/90,904
  6. Step 6: Final answer
    x = 495,868.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.