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Finding the Third Proportional to 456,897.75 and 990,066.75

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Solution

The third proportional to 456,897.75 and 990,066.75 is: 2,145,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,897.75 : 990,066.75 = 990,066.75 : x
  2. Step 2: Convert to fraction form
    456,897.75/990,066.75 = 990,066.75/x
  3. Step 3: Cross multiply
    456,897.75x = 990,066.75 × 990,066.75
  4. Step 4: Simplify right side
    456,897.75x = 980,232,169,455.56
  5. Step 5: Solve for x
    x = 980,232,169,455.56/456,897.75
  6. Step 6: Final answer
    x = 2,145,408.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.