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Finding the Third Proportional to 2,301,770 and 3,484,636

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Solution

The third proportional to 2,301,770 and 3,484,636 is: 5,275,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,770 : 3,484,636 = 3,484,636 : x
  2. Step 2: Convert to fraction form
    2,301,770/3,484,636 = 3,484,636/x
  3. Step 3: Cross multiply
    2,301,770x = 3,484,636 × 3,484,636
  4. Step 4: Simplify right side
    2,301,770x = 12,142,688,052,496
  5. Step 5: Solve for x
    x = 12,142,688,052,496/2,301,770
  6. Step 6: Final answer
    x = 5,275,369.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.