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Finding the Third Proportional to 607,428 and 906,216

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Solution

The third proportional to 607,428 and 906,216 is: 1,351,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,428 : 906,216 = 906,216 : x
  2. Step 2: Convert to fraction form
    607,428/906,216 = 906,216/x
  3. Step 3: Cross multiply
    607,428x = 906,216 × 906,216
  4. Step 4: Simplify right side
    607,428x = 821,227,438,656
  5. Step 5: Solve for x
    x = 821,227,438,656/607,428
  6. Step 6: Final answer
    x = 1,351,974.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.