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Finding the Third Proportional to 183,987 and 407,281.50

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Solution

The third proportional to 183,987 and 407,281.50 is: 901,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,987 : 407,281.50 = 407,281.50 : x
  2. Step 2: Convert to fraction form
    183,987/407,281.50 = 407,281.50/x
  3. Step 3: Cross multiply
    183,987x = 407,281.50 × 407,281.50
  4. Step 4: Simplify right side
    183,987x = 165,878,220,242.25
  5. Step 5: Solve for x
    x = 165,878,220,242.25/183,987
  6. Step 6: Final answer
    x = 901,575.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.