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Finding the Third Proportional to 401,490 and 591,143

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Solution

The third proportional to 401,490 and 591,143 is: 870,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,490 : 591,143 = 591,143 : x
  2. Step 2: Convert to fraction form
    401,490/591,143 = 591,143/x
  3. Step 3: Cross multiply
    401,490x = 591,143 × 591,143
  4. Step 4: Simplify right side
    401,490x = 349,450,046,449
  5. Step 5: Solve for x
    x = 349,450,046,449/401,490
  6. Step 6: Final answer
    x = 870,382.94

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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.