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Finding the Third Proportional to 162,900 and 345,465

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Solution

The third proportional to 162,900 and 345,465 is: 732,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,900 : 345,465 = 345,465 : x
  2. Step 2: Convert to fraction form
    162,900/345,465 = 345,465/x
  3. Step 3: Cross multiply
    162,900x = 345,465 × 345,465
  4. Step 4: Simplify right side
    162,900x = 119,346,066,225
  5. Step 5: Solve for x
    x = 119,346,066,225/162,900
  6. Step 6: Final answer
    x = 732,633.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.