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Finding the Third Proportional to 909,967.50 and 1,980,463.50

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Solution

The third proportional to 909,967.50 and 1,980,463.50 is: 4,310,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,967.50 : 1,980,463.50 = 1,980,463.50 : x
  2. Step 2: Convert to fraction form
    909,967.50/1,980,463.50 = 1,980,463.50/x
  3. Step 3: Cross multiply
    909,967.50x = 1,980,463.50 × 1,980,463.50
  4. Step 4: Simplify right side
    909,967.50x = 3,922,235,674,832.25
  5. Step 5: Solve for x
    x = 3,922,235,674,832.25/909,967.50
  6. Step 6: Final answer
    x = 4,310,303.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.