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Finding the Third Proportional to 290,990 and 436,886

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Solution

The third proportional to 290,990 and 436,886 is: 655,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,990 : 436,886 = 436,886 : x
  2. Step 2: Convert to fraction form
    290,990/436,886 = 436,886/x
  3. Step 3: Cross multiply
    290,990x = 436,886 × 436,886
  4. Step 4: Simplify right side
    290,990x = 190,869,376,996
  5. Step 5: Solve for x
    x = 190,869,376,996/290,990
  6. Step 6: Final answer
    x = 655,931.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.