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Finding the Third Proportional to 640,140 and 1,395,480

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Solution

The third proportional to 640,140 and 1,395,480 is: 3,042,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,140 : 1,395,480 = 1,395,480 : x
  2. Step 2: Convert to fraction form
    640,140/1,395,480 = 1,395,480/x
  3. Step 3: Cross multiply
    640,140x = 1,395,480 × 1,395,480
  4. Step 4: Simplify right side
    640,140x = 1,947,364,430,400
  5. Step 5: Solve for x
    x = 1,947,364,430,400/640,140
  6. Step 6: Final answer
    x = 3,042,091.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.