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Finding the Third Proportional to 864,299 and 1,308,372.50

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Solution

The third proportional to 864,299 and 1,308,372.50 is: 1,980,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,299 : 1,308,372.50 = 1,308,372.50 : x
  2. Step 2: Convert to fraction form
    864,299/1,308,372.50 = 1,308,372.50/x
  3. Step 3: Cross multiply
    864,299x = 1,308,372.50 × 1,308,372.50
  4. Step 4: Simplify right side
    864,299x = 1,711,838,598,756.25
  5. Step 5: Solve for x
    x = 1,711,838,598,756.25/864,299
  6. Step 6: Final answer
    x = 1,980,609.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.