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Finding the Third Proportional to 628,829 and 1,357,287

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Solution

The third proportional to 628,829 and 1,357,287 is: 2,929,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,829 : 1,357,287 = 1,357,287 : x
  2. Step 2: Convert to fraction form
    628,829/1,357,287 = 1,357,287/x
  3. Step 3: Cross multiply
    628,829x = 1,357,287 × 1,357,287
  4. Step 4: Simplify right side
    628,829x = 1,842,228,000,369
  5. Step 5: Solve for x
    x = 1,842,228,000,369/628,829
  6. Step 6: Final answer
    x = 2,929,616.80

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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.