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Finding the Third Proportional to 206,955 and 312,052.50

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Solution

The third proportional to 206,955 and 312,052.50 is: 470,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955 : 312,052.50 = 312,052.50 : x
  2. Step 2: Convert to fraction form
    206,955/312,052.50 = 312,052.50/x
  3. Step 3: Cross multiply
    206,955x = 312,052.50 × 312,052.50
  4. Step 4: Simplify right side
    206,955x = 97,376,762,756.25
  5. Step 5: Solve for x
    x = 97,376,762,756.25/206,955
  6. Step 6: Final answer
    x = 470,521.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.