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Finding the Third Proportional to 357,178.50 and 486,409.50

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Solution

The third proportional to 357,178.50 and 486,409.50 is: 662,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,178.50 : 486,409.50 = 486,409.50 : x
  2. Step 2: Convert to fraction form
    357,178.50/486,409.50 = 486,409.50/x
  3. Step 3: Cross multiply
    357,178.50x = 486,409.50 × 486,409.50
  4. Step 4: Simplify right side
    357,178.50x = 236,594,201,690.25
  5. Step 5: Solve for x
    x = 236,594,201,690.25/357,178.50
  6. Step 6: Final answer
    x = 662,397.66

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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.