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Finding the Third Proportional to 357,216 and 486,467

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Solution

The third proportional to 357,216 and 486,467 is: 662,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,216 : 486,467 = 486,467 : x
  2. Step 2: Convert to fraction form
    357,216/486,467 = 486,467/x
  3. Step 3: Cross multiply
    357,216x = 486,467 × 486,467
  4. Step 4: Simplify right side
    357,216x = 236,650,142,089
  5. Step 5: Solve for x
    x = 236,650,142,089/357,216
  6. Step 6: Final answer
    x = 662,484.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.