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Finding the Third Proportional to 156,989 and 201,585

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Solution

The third proportional to 156,989 and 201,585 is: 258,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,989 : 201,585 = 201,585 : x
  2. Step 2: Convert to fraction form
    156,989/201,585 = 201,585/x
  3. Step 3: Cross multiply
    156,989x = 201,585 × 201,585
  4. Step 4: Simplify right side
    156,989x = 40,636,512,225
  5. Step 5: Solve for x
    x = 40,636,512,225/156,989
  6. Step 6: Final answer
    x = 258,849.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.