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Finding the Third Proportional to 279,735.75 and 429,265.13

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Solution

The third proportional to 279,735.75 and 429,265.13 is: 658,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,735.75 : 429,265.13 = 429,265.13 : x
  2. Step 2: Convert to fraction form
    279,735.75/429,265.13 = 429,265.13/x
  3. Step 3: Cross multiply
    279,735.75x = 429,265.13 × 429,265.13
  4. Step 4: Simplify right side
    279,735.75x = 184,268,547,541.27
  5. Step 5: Solve for x
    x = 184,268,547,541.27/279,735.75
  6. Step 6: Final answer
    x = 658,723.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.