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Finding the Third Proportional to 357,099 and 484,438.50

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Solution

The third proportional to 357,099 and 484,438.50 is: 657,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,099 : 484,438.50 = 484,438.50 : x
  2. Step 2: Convert to fraction form
    357,099/484,438.50 = 484,438.50/x
  3. Step 3: Cross multiply
    357,099x = 484,438.50 × 484,438.50
  4. Step 4: Simplify right side
    357,099x = 234,680,660,282.25
  5. Step 5: Solve for x
    x = 234,680,660,282.25/357,099
  6. Step 6: Final answer
    x = 657,186.55

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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.