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Finding the Third Proportional to 208,281.50 and 431,331.50

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Solution

The third proportional to 208,281.50 and 431,331.50 is: 893,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,281.50 : 431,331.50 = 431,331.50 : x
  2. Step 2: Convert to fraction form
    208,281.50/431,331.50 = 431,331.50/x
  3. Step 3: Cross multiply
    208,281.50x = 431,331.50 × 431,331.50
  4. Step 4: Simplify right side
    208,281.50x = 186,046,862,892.25
  5. Step 5: Solve for x
    x = 186,046,862,892.25/208,281.50
  6. Step 6: Final answer
    x = 893,247.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.