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Finding the Third Proportional to 348,309 and 711,375.75

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Solution

The third proportional to 348,309 and 711,375.75 is: 1,452,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,309 : 711,375.75 = 711,375.75 : x
  2. Step 2: Convert to fraction form
    348,309/711,375.75 = 711,375.75/x
  3. Step 3: Cross multiply
    348,309x = 711,375.75 × 711,375.75
  4. Step 4: Simplify right side
    348,309x = 506,055,457,688.06
  5. Step 5: Solve for x
    x = 506,055,457,688.06/348,309
  6. Step 6: Final answer
    x = 1,452,892.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.