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Finding the Third Proportional to 921,895 and 2,011,900

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Solution

The third proportional to 921,895 and 2,011,900 is: 4,390,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,895 : 2,011,900 = 2,011,900 : x
  2. Step 2: Convert to fraction form
    921,895/2,011,900 = 2,011,900/x
  3. Step 3: Cross multiply
    921,895x = 2,011,900 × 2,011,900
  4. Step 4: Simplify right side
    921,895x = 4,047,741,610,000
  5. Step 5: Solve for x
    x = 4,047,741,610,000/921,895
  6. Step 6: Final answer
    x = 4,390,675.30

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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.