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Finding the Third Proportional to 407,172 and 535,431

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Solution

The third proportional to 407,172 and 535,431 is: 704,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,172 : 535,431 = 535,431 : x
  2. Step 2: Convert to fraction form
    407,172/535,431 = 535,431/x
  3. Step 3: Cross multiply
    407,172x = 535,431 × 535,431
  4. Step 4: Simplify right side
    407,172x = 286,686,355,761
  5. Step 5: Solve for x
    x = 286,686,355,761/407,172
  6. Step 6: Final answer
    x = 704,091.53

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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.