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Finding the Third Proportional to 284,202 and 429,254.50

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Solution

The third proportional to 284,202 and 429,254.50 is: 648,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,202 : 429,254.50 = 429,254.50 : x
  2. Step 2: Convert to fraction form
    284,202/429,254.50 = 429,254.50/x
  3. Step 3: Cross multiply
    284,202x = 429,254.50 × 429,254.50
  4. Step 4: Simplify right side
    284,202x = 184,259,425,770.25
  5. Step 5: Solve for x
    x = 184,259,425,770.25/284,202
  6. Step 6: Final answer
    x = 648,339.65

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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.