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Finding the Third Proportional to 577,212.75 and 869,281.50

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Solution

The third proportional to 577,212.75 and 869,281.50 is: 1,309,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,212.75 : 869,281.50 = 869,281.50 : x
  2. Step 2: Convert to fraction form
    577,212.75/869,281.50 = 869,281.50/x
  3. Step 3: Cross multiply
    577,212.75x = 869,281.50 × 869,281.50
  4. Step 4: Simplify right side
    577,212.75x = 755,650,326,242.25
  5. Step 5: Solve for x
    x = 755,650,326,242.25/577,212.75
  6. Step 6: Final answer
    x = 1,309,136.58

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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.