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Finding the Third Proportional to 457,240 and 616,794

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Solution

The third proportional to 457,240 and 616,794 is: 832,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,240 : 616,794 = 616,794 : x
  2. Step 2: Convert to fraction form
    457,240/616,794 = 616,794/x
  3. Step 3: Cross multiply
    457,240x = 616,794 × 616,794
  4. Step 4: Simplify right side
    457,240x = 380,434,838,436
  5. Step 5: Solve for x
    x = 380,434,838,436/457,240
  6. Step 6: Final answer
    x = 832,024.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.