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Finding the Third Proportional to 328,743.56 and 420,071.06

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Solution

The third proportional to 328,743.56 and 420,071.06 is: 536,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,743.56 : 420,071.06 = 420,071.06 : x
  2. Step 2: Convert to fraction form
    328,743.56/420,071.06 = 420,071.06/x
  3. Step 3: Cross multiply
    328,743.56x = 420,071.06 × 420,071.06
  4. Step 4: Simplify right side
    328,743.56x = 176,459,697,549.88
  5. Step 5: Solve for x
    x = 176,459,697,549.88/328,743.56
  6. Step 6: Final answer
    x = 536,770.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.