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Finding the Third Proportional to 742,140 and 1,589,220

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Solution

The third proportional to 742,140 and 1,589,220 is: 3,403,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,140 : 1,589,220 = 1,589,220 : x
  2. Step 2: Convert to fraction form
    742,140/1,589,220 = 1,589,220/x
  3. Step 3: Cross multiply
    742,140x = 1,589,220 × 1,589,220
  4. Step 4: Simplify right side
    742,140x = 2,525,620,208,400
  5. Step 5: Solve for x
    x = 2,525,620,208,400/742,140
  6. Step 6: Final answer
    x = 3,403,158.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.