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Finding the Third Proportional to 459,640 and 713,520

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Solution

The third proportional to 459,640 and 713,520 is: 1,107,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,640 : 713,520 = 713,520 : x
  2. Step 2: Convert to fraction form
    459,640/713,520 = 713,520/x
  3. Step 3: Cross multiply
    459,640x = 713,520 × 713,520
  4. Step 4: Simplify right side
    459,640x = 509,110,790,400
  5. Step 5: Solve for x
    x = 509,110,790,400/459,640
  6. Step 6: Final answer
    x = 1,107,629.43

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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.