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Finding the Third Proportional to 1,736,280 and 3,739,237.50

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Solution

The third proportional to 1,736,280 and 3,739,237.50 is: 8,052,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,280 : 3,739,237.50 = 3,739,237.50 : x
  2. Step 2: Convert to fraction form
    1,736,280/3,739,237.50 = 3,739,237.50/x
  3. Step 3: Cross multiply
    1,736,280x = 3,739,237.50 × 3,739,237.50
  4. Step 4: Simplify right side
    1,736,280x = 13,981,897,081,406.25
  5. Step 5: Solve for x
    x = 13,981,897,081,406.25/1,736,280
  6. Step 6: Final answer
    x = 8,052,789.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.