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Finding the Third Proportional to 315,489 and 458,833.50

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Solution

The third proportional to 315,489 and 458,833.50 is: 667,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,489 : 458,833.50 = 458,833.50 : x
  2. Step 2: Convert to fraction form
    315,489/458,833.50 = 458,833.50/x
  3. Step 3: Cross multiply
    315,489x = 458,833.50 × 458,833.50
  4. Step 4: Simplify right side
    315,489x = 210,528,180,722.25
  5. Step 5: Solve for x
    x = 210,528,180,722.25/315,489
  6. Step 6: Final answer
    x = 667,307.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.