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Finding the Third Proportional to 407,149 and 535,399

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Solution

The third proportional to 407,149 and 535,399 is: 704,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,149 : 535,399 = 535,399 : x
  2. Step 2: Convert to fraction form
    407,149/535,399 = 535,399/x
  3. Step 3: Cross multiply
    407,149x = 535,399 × 535,399
  4. Step 4: Simplify right side
    407,149x = 286,652,089,201
  5. Step 5: Solve for x
    x = 286,652,089,201/407,149
  6. Step 6: Final answer
    x = 704,047.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.