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Finding the Third Proportional to 454,720 and 713,320

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Solution

The third proportional to 454,720 and 713,320 is: 1,118,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,720 : 713,320 = 713,320 : x
  2. Step 2: Convert to fraction form
    454,720/713,320 = 713,320/x
  3. Step 3: Cross multiply
    454,720x = 713,320 × 713,320
  4. Step 4: Simplify right side
    454,720x = 508,825,422,400
  5. Step 5: Solve for x
    x = 508,825,422,400/454,720
  6. Step 6: Final answer
    x = 1,118,986.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.