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Finding the Third Proportional to 349,330.50 and 711,505.50

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Solution

The third proportional to 349,330.50 and 711,505.50 is: 1,449,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,330.50 : 711,505.50 = 711,505.50 : x
  2. Step 2: Convert to fraction form
    349,330.50/711,505.50 = 711,505.50/x
  3. Step 3: Cross multiply
    349,330.50x = 711,505.50 × 711,505.50
  4. Step 4: Simplify right side
    349,330.50x = 506,240,076,530.25
  5. Step 5: Solve for x
    x = 506,240,076,530.25/349,330.50
  6. Step 6: Final answer
    x = 1,449,172.28

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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.