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Finding the Third Proportional to 428,702 and 616,195.50

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Solution

The third proportional to 428,702 and 616,195.50 is: 885,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,702 : 616,195.50 = 616,195.50 : x
  2. Step 2: Convert to fraction form
    428,702/616,195.50 = 616,195.50/x
  3. Step 3: Cross multiply
    428,702x = 616,195.50 × 616,195.50
  4. Step 4: Simplify right side
    428,702x = 379,696,894,220.25
  5. Step 5: Solve for x
    x = 379,696,894,220.25/428,702
  6. Step 6: Final answer
    x = 885,689.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.