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Finding the Third Proportional to 448,979.63 and 975,462.75

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Solution

The third proportional to 448,979.63 and 975,462.75 is: 2,119,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,979.63 : 975,462.75 = 975,462.75 : x
  2. Step 2: Convert to fraction form
    448,979.63/975,462.75 = 975,462.75/x
  3. Step 3: Cross multiply
    448,979.63x = 975,462.75 × 975,462.75
  4. Step 4: Simplify right side
    448,979.63x = 951,527,576,637.56
  5. Step 5: Solve for x
    x = 951,527,576,637.56/448,979.63
  6. Step 6: Final answer
    x = 2,119,311.26

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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.