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Finding the Third Proportional to 285,695 and 609,358.50

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Solution

The third proportional to 285,695 and 609,358.50 is: 1,299,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,695 : 609,358.50 = 609,358.50 : x
  2. Step 2: Convert to fraction form
    285,695/609,358.50 = 609,358.50/x
  3. Step 3: Cross multiply
    285,695x = 609,358.50 × 609,358.50
  4. Step 4: Simplify right side
    285,695x = 371,317,781,522.25
  5. Step 5: Solve for x
    x = 371,317,781,522.25/285,695
  6. Step 6: Final answer
    x = 1,299,699.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.