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Finding the Third Proportional to 401,624 and 535,438

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Solution

The third proportional to 401,624 and 535,438 is: 713,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,624 : 535,438 = 535,438 : x
  2. Step 2: Convert to fraction form
    401,624/535,438 = 535,438/x
  3. Step 3: Cross multiply
    401,624x = 535,438 × 535,438
  4. Step 4: Simplify right side
    401,624x = 286,693,851,844
  5. Step 5: Solve for x
    x = 286,693,851,844/401,624
  6. Step 6: Final answer
    x = 713,836.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.