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Finding the Third Proportional to 210,940,888.50 and 462,725,642.25

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Solution

The third proportional to 210,940,888.50 and 462,725,642.25 is: 1,015,047,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,940,888.50 : 462,725,642.25 = 462,725,642.25 : x
  2. Step 2: Convert to fraction form
    210,940,888.50/462,725,642.25 = 462,725,642.25/x
  3. Step 3: Cross multiply
    210,940,888.50x = 462,725,642.25 × 462,725,642.25
  4. Step 4: Simplify right side
    210,940,888.50x = 214,115,019,995,674,976
  5. Step 5: Solve for x
    x = 214,115,019,995,674,976/210,940,888.50
  6. Step 6: Final answer
    x = 1,015,047,492.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.