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Finding the Third Proportional to 284,385.75 and 429,603

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Solution

The third proportional to 284,385.75 and 429,603 is: 648,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,385.75 : 429,603 = 429,603 : x
  2. Step 2: Convert to fraction form
    284,385.75/429,603 = 429,603/x
  3. Step 3: Cross multiply
    284,385.75x = 429,603 × 429,603
  4. Step 4: Simplify right side
    284,385.75x = 184,558,737,609
  5. Step 5: Solve for x
    x = 184,558,737,609/284,385.75
  6. Step 6: Final answer
    x = 648,973.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.