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Finding the Third Proportional to 162,402 and 354,315

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Solution

The third proportional to 162,402 and 354,315 is: 773,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,402 : 354,315 = 354,315 : x
  2. Step 2: Convert to fraction form
    162,402/354,315 = 354,315/x
  3. Step 3: Cross multiply
    162,402x = 354,315 × 354,315
  4. Step 4: Simplify right side
    162,402x = 125,539,119,225
  5. Step 5: Solve for x
    x = 125,539,119,225/162,402
  6. Step 6: Final answer
    x = 773,014.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.