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Finding the Third Proportional to 496,981.50 and 662,140.50

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Solution

The third proportional to 496,981.50 and 662,140.50 is: 882,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,981.50 : 662,140.50 = 662,140.50 : x
  2. Step 2: Convert to fraction form
    496,981.50/662,140.50 = 662,140.50/x
  3. Step 3: Cross multiply
    496,981.50x = 662,140.50 × 662,140.50
  4. Step 4: Simplify right side
    496,981.50x = 438,430,041,740.25
  5. Step 5: Solve for x
    x = 438,430,041,740.25/496,981.50
  6. Step 6: Final answer
    x = 882,185.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.