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Finding the Third Proportional to 813,249 and 1,219,873.50

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Solution

The third proportional to 813,249 and 1,219,873.50 is: 1,829,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,249 : 1,219,873.50 = 1,219,873.50 : x
  2. Step 2: Convert to fraction form
    813,249/1,219,873.50 = 1,219,873.50/x
  3. Step 3: Cross multiply
    813,249x = 1,219,873.50 × 1,219,873.50
  4. Step 4: Simplify right side
    813,249x = 1,488,091,356,002.25
  5. Step 5: Solve for x
    x = 1,488,091,356,002.25/813,249
  6. Step 6: Final answer
    x = 1,829,810.25

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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.