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Finding the Third Proportional to 742,516 and 1,158,121

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Solution

The third proportional to 742,516 and 1,158,121 is: 1,806,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,516 : 1,158,121 = 1,158,121 : x
  2. Step 2: Convert to fraction form
    742,516/1,158,121 = 1,158,121/x
  3. Step 3: Cross multiply
    742,516x = 1,158,121 × 1,158,121
  4. Step 4: Simplify right side
    742,516x = 1,341,244,250,641
  5. Step 5: Solve for x
    x = 1,341,244,250,641/742,516
  6. Step 6: Final answer
    x = 1,806,350.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.