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Finding the Third Proportional to 210,999.94 and 316,522.69

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Solution

The third proportional to 210,999.94 and 316,522.69 is: 474,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,999.94 : 316,522.69 = 316,522.69 : x
  2. Step 2: Convert to fraction form
    210,999.94/316,522.69 = 316,522.69/x
  3. Step 3: Cross multiply
    210,999.94x = 316,522.69 × 316,522.69
  4. Step 4: Simplify right side
    210,999.94x = 100,186,611,702.22
  5. Step 5: Solve for x
    x = 100,186,611,702.22/210,999.94
  6. Step 6: Final answer
    x = 474,818.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.