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Finding the Third Proportional to 311,526 and 515,281.50

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Solution

The third proportional to 311,526 and 515,281.50 is: 852,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,526 : 515,281.50 = 515,281.50 : x
  2. Step 2: Convert to fraction form
    311,526/515,281.50 = 515,281.50/x
  3. Step 3: Cross multiply
    311,526x = 515,281.50 × 515,281.50
  4. Step 4: Simplify right side
    311,526x = 265,515,024,242.25
  5. Step 5: Solve for x
    x = 265,515,024,242.25/311,526
  6. Step 6: Final answer
    x = 852,304.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.