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Finding the Third Proportional to 609,730 and 1,340,129

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Solution

The third proportional to 609,730 and 1,340,129 is: 2,945,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,730 : 1,340,129 = 1,340,129 : x
  2. Step 2: Convert to fraction form
    609,730/1,340,129 = 1,340,129/x
  3. Step 3: Cross multiply
    609,730x = 1,340,129 × 1,340,129
  4. Step 4: Simplify right side
    609,730x = 1,795,945,736,641
  5. Step 5: Solve for x
    x = 1,795,945,736,641/609,730
  6. Step 6: Final answer
    x = 2,945,477.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.