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Finding the Third Proportional to 437,946.75 and 639,697.50

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Solution

The third proportional to 437,946.75 and 639,697.50 is: 934,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,946.75 : 639,697.50 = 639,697.50 : x
  2. Step 2: Convert to fraction form
    437,946.75/639,697.50 = 639,697.50/x
  3. Step 3: Cross multiply
    437,946.75x = 639,697.50 × 639,697.50
  4. Step 4: Simplify right side
    437,946.75x = 409,212,891,506.25
  5. Step 5: Solve for x
    x = 409,212,891,506.25/437,946.75
  6. Step 6: Final answer
    x = 934,389.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.