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Finding the Third Proportional to 356,838 and 484,389

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Solution

The third proportional to 356,838 and 484,389 is: 657,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,838 : 484,389 = 484,389 : x
  2. Step 2: Convert to fraction form
    356,838/484,389 = 484,389/x
  3. Step 3: Cross multiply
    356,838x = 484,389 × 484,389
  4. Step 4: Simplify right side
    356,838x = 234,632,703,321
  5. Step 5: Solve for x
    x = 234,632,703,321/356,838
  6. Step 6: Final answer
    x = 657,532.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.