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Finding the Third Proportional to 214,980.75 and 424,669.50

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Solution

The third proportional to 214,980.75 and 424,669.50 is: 838,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980.75 : 424,669.50 = 424,669.50 : x
  2. Step 2: Convert to fraction form
    214,980.75/424,669.50 = 424,669.50/x
  3. Step 3: Cross multiply
    214,980.75x = 424,669.50 × 424,669.50
  4. Step 4: Simplify right side
    214,980.75x = 180,344,184,230.25
  5. Step 5: Solve for x
    x = 180,344,184,230.25/214,980.75
  6. Step 6: Final answer
    x = 838,885.27

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.