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Finding the Third Proportional to 633,714 and 1,409,110.50

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Solution

The third proportional to 633,714 and 1,409,110.50 is: 3,133,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,714 : 1,409,110.50 = 1,409,110.50 : x
  2. Step 2: Convert to fraction form
    633,714/1,409,110.50 = 1,409,110.50/x
  3. Step 3: Cross multiply
    633,714x = 1,409,110.50 × 1,409,110.50
  4. Step 4: Simplify right side
    633,714x = 1,985,592,401,210.25
  5. Step 5: Solve for x
    x = 1,985,592,401,210.25/633,714
  6. Step 6: Final answer
    x = 3,133,262.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.