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Finding the Third Proportional to 1,742,733 and 3,774,960

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Solution

The third proportional to 1,742,733 and 3,774,960 is: 8,176,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,733 : 3,774,960 = 3,774,960 : x
  2. Step 2: Convert to fraction form
    1,742,733/3,774,960 = 3,774,960/x
  3. Step 3: Cross multiply
    1,742,733x = 3,774,960 × 3,774,960
  4. Step 4: Simplify right side
    1,742,733x = 14,250,323,001,600
  5. Step 5: Solve for x
    x = 14,250,323,001,600/1,742,733
  6. Step 6: Final answer
    x = 8,176,997.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.