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Finding the Third Proportional to 401,994 and 625,128

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Solution

The third proportional to 401,994 and 625,128 is: 972,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,994 : 625,128 = 625,128 : x
  2. Step 2: Convert to fraction form
    401,994/625,128 = 625,128/x
  3. Step 3: Cross multiply
    401,994x = 625,128 × 625,128
  4. Step 4: Simplify right side
    401,994x = 390,785,016,384
  5. Step 5: Solve for x
    x = 390,785,016,384/401,994
  6. Step 6: Final answer
    x = 972,116.54

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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.