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Finding the Third Proportional to 357,234.75 and 486,495

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Solution

The third proportional to 357,234.75 and 486,495 is: 662,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,234.75 : 486,495 = 486,495 : x
  2. Step 2: Convert to fraction form
    357,234.75/486,495 = 486,495/x
  3. Step 3: Cross multiply
    357,234.75x = 486,495 × 486,495
  4. Step 4: Simplify right side
    357,234.75x = 236,677,385,025
  5. Step 5: Solve for x
    x = 236,677,385,025/357,234.75
  6. Step 6: Final answer
    x = 662,526.21

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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.