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Finding the Third Proportional to 401,931 and 625,038.75

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Solution

The third proportional to 401,931 and 625,038.75 is: 971,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,931 : 625,038.75 = 625,038.75 : x
  2. Step 2: Convert to fraction form
    401,931/625,038.75 = 625,038.75/x
  3. Step 3: Cross multiply
    401,931x = 625,038.75 × 625,038.75
  4. Step 4: Simplify right side
    401,931x = 390,673,439,001.56
  5. Step 5: Solve for x
    x = 390,673,439,001.56/401,931
  6. Step 6: Final answer
    x = 971,991.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.