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Finding the Third Proportional to 285,446.63 and 621,747.38

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Solution

The third proportional to 285,446.63 and 621,747.38 is: 1,354,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,446.63 : 621,747.38 = 621,747.38 : x
  2. Step 2: Convert to fraction form
    285,446.63/621,747.38 = 621,747.38/x
  3. Step 3: Cross multiply
    285,446.63x = 621,747.38 × 621,747.38
  4. Step 4: Simplify right side
    285,446.63x = 386,569,798,319.39
  5. Step 5: Solve for x
    x = 386,569,798,319.39/285,446.63
  6. Step 6: Final answer
    x = 1,354,262.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.