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Finding the Third Proportional to 1,830,072 and 2,640,120

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Solution

The third proportional to 1,830,072 and 2,640,120 is: 3,808,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,072 : 2,640,120 = 2,640,120 : x
  2. Step 2: Convert to fraction form
    1,830,072/2,640,120 = 2,640,120/x
  3. Step 3: Cross multiply
    1,830,072x = 2,640,120 × 2,640,120
  4. Step 4: Simplify right side
    1,830,072x = 6,970,233,614,400
  5. Step 5: Solve for x
    x = 6,970,233,614,400/1,830,072
  6. Step 6: Final answer
    x = 3,808,720.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.