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Finding the Third Proportional to 762,269 and 1,120,567.50

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Solution

The third proportional to 762,269 and 1,120,567.50 is: 1,647,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,269 : 1,120,567.50 = 1,120,567.50 : x
  2. Step 2: Convert to fraction form
    762,269/1,120,567.50 = 1,120,567.50/x
  3. Step 3: Cross multiply
    762,269x = 1,120,567.50 × 1,120,567.50
  4. Step 4: Simplify right side
    762,269x = 1,255,671,522,056.25
  5. Step 5: Solve for x
    x = 1,255,671,522,056.25/762,269
  6. Step 6: Final answer
    x = 1,647,281.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.