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Finding the Third Proportional to 840,613.50 and 1,298,076.75

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Solution

The third proportional to 840,613.50 and 1,298,076.75 is: 2,004,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,613.50 : 1,298,076.75 = 1,298,076.75 : x
  2. Step 2: Convert to fraction form
    840,613.50/1,298,076.75 = 1,298,076.75/x
  3. Step 3: Cross multiply
    840,613.50x = 1,298,076.75 × 1,298,076.75
  4. Step 4: Simplify right side
    840,613.50x = 1,685,003,248,890.56
  5. Step 5: Solve for x
    x = 1,685,003,248,890.56/840,613.50
  6. Step 6: Final answer
    x = 2,004,492.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.