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Finding the Third Proportional to 357,086 and 484,420

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Solution

The third proportional to 357,086 and 484,420 is: 657,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,086 : 484,420 = 484,420 : x
  2. Step 2: Convert to fraction form
    357,086/484,420 = 484,420/x
  3. Step 3: Cross multiply
    357,086x = 484,420 × 484,420
  4. Step 4: Simplify right side
    357,086x = 234,662,736,400
  5. Step 5: Solve for x
    x = 234,662,736,400/357,086
  6. Step 6: Final answer
    x = 657,160.28

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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.