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Finding the Third Proportional to 309,710.25 and 454,329.84

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Solution

The third proportional to 309,710.25 and 454,329.84 is: 666,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,710.25 : 454,329.84 = 454,329.84 : x
  2. Step 2: Convert to fraction form
    309,710.25/454,329.84 = 454,329.84/x
  3. Step 3: Cross multiply
    309,710.25x = 454,329.84 × 454,329.84
  4. Step 4: Simplify right side
    309,710.25x = 206,415,606,921.90
  5. Step 5: Solve for x
    x = 206,415,606,921.90/309,710.25
  6. Step 6: Final answer
    x = 666,479.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.