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Finding the Third Proportional to 290,490 and 400,023

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Solution

The third proportional to 290,490 and 400,023 is: 550,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,490 : 400,023 = 400,023 : x
  2. Step 2: Convert to fraction form
    290,490/400,023 = 400,023/x
  3. Step 3: Cross multiply
    290,490x = 400,023 × 400,023
  4. Step 4: Simplify right side
    290,490x = 160,018,400,529
  5. Step 5: Solve for x
    x = 160,018,400,529/290,490
  6. Step 6: Final answer
    x = 550,856.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.