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Finding the Third Proportional to 628,947 and 1,357,479

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Solution

The third proportional to 628,947 and 1,357,479 is: 2,929,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,947 : 1,357,479 = 1,357,479 : x
  2. Step 2: Convert to fraction form
    628,947/1,357,479 = 1,357,479/x
  3. Step 3: Cross multiply
    628,947x = 1,357,479 × 1,357,479
  4. Step 4: Simplify right side
    628,947x = 1,842,749,235,441
  5. Step 5: Solve for x
    x = 1,842,749,235,441/628,947
  6. Step 6: Final answer
    x = 2,929,895.90

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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.