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Finding the Third Proportional to 407,238 and 535,526

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Solution

The third proportional to 407,238 and 535,526 is: 704,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,238 : 535,526 = 535,526 : x
  2. Step 2: Convert to fraction form
    407,238/535,526 = 535,526/x
  3. Step 3: Cross multiply
    407,238x = 535,526 × 535,526
  4. Step 4: Simplify right side
    407,238x = 286,788,096,676
  5. Step 5: Solve for x
    x = 286,788,096,676/407,238
  6. Step 6: Final answer
    x = 704,227.25

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.