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Finding the Third Proportional to 162,090 and 260,435

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Solution

The third proportional to 162,090 and 260,435 is: 418,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,090 : 260,435 = 260,435 : x
  2. Step 2: Convert to fraction form
    162,090/260,435 = 260,435/x
  3. Step 3: Cross multiply
    162,090x = 260,435 × 260,435
  4. Step 4: Simplify right side
    162,090x = 67,826,389,225
  5. Step 5: Solve for x
    x = 67,826,389,225/162,090
  6. Step 6: Final answer
    x = 418,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.