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Finding the Third Proportional to 384,240 and 617,370

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Solution

The third proportional to 384,240 and 617,370 is: 991,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,240 : 617,370 = 617,370 : x
  2. Step 2: Convert to fraction form
    384,240/617,370 = 617,370/x
  3. Step 3: Cross multiply
    384,240x = 617,370 × 617,370
  4. Step 4: Simplify right side
    384,240x = 381,145,716,900
  5. Step 5: Solve for x
    x = 381,145,716,900/384,240
  6. Step 6: Final answer
    x = 991,947.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.