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Finding the Third Proportional to 457,216 and 710,736

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Solution

The third proportional to 457,216 and 710,736 is: 1,104,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,216 : 710,736 = 710,736 : x
  2. Step 2: Convert to fraction form
    457,216/710,736 = 710,736/x
  3. Step 3: Cross multiply
    457,216x = 710,736 × 710,736
  4. Step 4: Simplify right side
    457,216x = 505,145,661,696
  5. Step 5: Solve for x
    x = 505,145,661,696/457,216
  6. Step 6: Final answer
    x = 1,104,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.