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Finding the Third Proportional to 217,323 and 345,784.50

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Solution

The third proportional to 217,323 and 345,784.50 is: 550,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,323 : 345,784.50 = 345,784.50 : x
  2. Step 2: Convert to fraction form
    217,323/345,784.50 = 345,784.50/x
  3. Step 3: Cross multiply
    217,323x = 345,784.50 × 345,784.50
  4. Step 4: Simplify right side
    217,323x = 119,566,920,440.25
  5. Step 5: Solve for x
    x = 119,566,920,440.25/217,323
  6. Step 6: Final answer
    x = 550,180.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.