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Finding the Third Proportional to 250,411.50 and 400,038.75

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Solution

The third proportional to 250,411.50 and 400,038.75 is: 639,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,411.50 : 400,038.75 = 400,038.75 : x
  2. Step 2: Convert to fraction form
    250,411.50/400,038.75 = 400,038.75/x
  3. Step 3: Cross multiply
    250,411.50x = 400,038.75 × 400,038.75
  4. Step 4: Simplify right side
    250,411.50x = 160,031,001,501.56
  5. Step 5: Solve for x
    x = 160,031,001,501.56/250,411.50
  6. Step 6: Final answer
    x = 639,072.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.