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Finding the Third Proportional to 284,430.50 and 609,342.50

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Solution

The third proportional to 284,430.50 and 609,342.50 is: 1,305,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,430.50 : 609,342.50 = 609,342.50 : x
  2. Step 2: Convert to fraction form
    284,430.50/609,342.50 = 609,342.50/x
  3. Step 3: Cross multiply
    284,430.50x = 609,342.50 × 609,342.50
  4. Step 4: Simplify right side
    284,430.50x = 371,298,282,306.25
  5. Step 5: Solve for x
    x = 371,298,282,306.25/284,430.50
  6. Step 6: Final answer
    x = 1,305,409.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.