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Finding the Third Proportional to 628,908 and 1,357,416

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Solution

The third proportional to 628,908 and 1,357,416 is: 2,929,805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,908 : 1,357,416 = 1,357,416 : x
  2. Step 2: Convert to fraction form
    628,908/1,357,416 = 1,357,416/x
  3. Step 3: Cross multiply
    628,908x = 1,357,416 × 1,357,416
  4. Step 4: Simplify right side
    628,908x = 1,842,578,197,056
  5. Step 5: Solve for x
    x = 1,842,578,197,056/628,908
  6. Step 6: Final answer
    x = 2,929,805.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.