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Finding the Third Proportional to 349,114.50 and 498,315.38

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Solution

The third proportional to 349,114.50 and 498,315.38 is: 711,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,114.50 : 498,315.38 = 498,315.38 : x
  2. Step 2: Convert to fraction form
    349,114.50/498,315.38 = 498,315.38/x
  3. Step 3: Cross multiply
    349,114.50x = 498,315.38 × 498,315.38
  4. Step 4: Simplify right side
    349,114.50x = 248,318,212,961.39
  5. Step 5: Solve for x
    x = 248,318,212,961.39/349,114.50
  6. Step 6: Final answer
    x = 711,280.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.