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Finding the Third Proportional to 339,534 and 509,341.50

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Solution

The third proportional to 339,534 and 509,341.50 is: 764,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,534 : 509,341.50 = 509,341.50 : x
  2. Step 2: Convert to fraction form
    339,534/509,341.50 = 509,341.50/x
  3. Step 3: Cross multiply
    339,534x = 509,341.50 × 509,341.50
  4. Step 4: Simplify right side
    339,534x = 259,428,763,622.25
  5. Step 5: Solve for x
    x = 259,428,763,622.25/339,534
  6. Step 6: Final answer
    x = 764,073.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.