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Finding the Third Proportional to 261,285.75 and 381,847.50

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Solution

The third proportional to 261,285.75 and 381,847.50 is: 558,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,285.75 : 381,847.50 = 381,847.50 : x
  2. Step 2: Convert to fraction form
    261,285.75/381,847.50 = 381,847.50/x
  3. Step 3: Cross multiply
    261,285.75x = 381,847.50 × 381,847.50
  4. Step 4: Simplify right side
    261,285.75x = 145,807,513,256.25
  5. Step 5: Solve for x
    x = 145,807,513,256.25/261,285.75
  6. Step 6: Final answer
    x = 558,038.52

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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.