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Finding the Third Proportional to 401,498 and 591,154

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Solution

The third proportional to 401,498 and 591,154 is: 870,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,498 : 591,154 = 591,154 : x
  2. Step 2: Convert to fraction form
    401,498/591,154 = 591,154/x
  3. Step 3: Cross multiply
    401,498x = 591,154 × 591,154
  4. Step 4: Simplify right side
    401,498x = 349,463,051,716
  5. Step 5: Solve for x
    x = 349,463,051,716/401,498
  6. Step 6: Final answer
    x = 870,397.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.