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Finding the Third Proportional to 212,643 and 440,230.50

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Solution

The third proportional to 212,643 and 440,230.50 is: 911,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,643 : 440,230.50 = 440,230.50 : x
  2. Step 2: Convert to fraction form
    212,643/440,230.50 = 440,230.50/x
  3. Step 3: Cross multiply
    212,643x = 440,230.50 × 440,230.50
  4. Step 4: Simplify right side
    212,643x = 193,802,893,130.25
  5. Step 5: Solve for x
    x = 193,802,893,130.25/212,643
  6. Step 6: Final answer
    x = 911,400.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.