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Finding the Third Proportional to 1,689,566 and 3,498,840

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Solution

The third proportional to 1,689,566 and 3,498,840 is: 7,245,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,566 : 3,498,840 = 3,498,840 : x
  2. Step 2: Convert to fraction form
    1,689,566/3,498,840 = 3,498,840/x
  3. Step 3: Cross multiply
    1,689,566x = 3,498,840 × 3,498,840
  4. Step 4: Simplify right side
    1,689,566x = 12,241,881,345,600
  5. Step 5: Solve for x
    x = 12,241,881,345,600/1,689,566
  6. Step 6: Final answer
    x = 7,245,577.47

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.