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Finding the Third Proportional to 272,884.50 and 429,376.50

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Solution

The third proportional to 272,884.50 and 429,376.50 is: 675,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,884.50 : 429,376.50 = 429,376.50 : x
  2. Step 2: Convert to fraction form
    272,884.50/429,376.50 = 429,376.50/x
  3. Step 3: Cross multiply
    272,884.50x = 429,376.50 × 429,376.50
  4. Step 4: Simplify right side
    272,884.50x = 184,364,178,752.25
  5. Step 5: Solve for x
    x = 184,364,178,752.25/272,884.50
  6. Step 6: Final answer
    x = 675,612.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.