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Finding the Third Proportional to 742,407.50 and 1,157,979

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Solution

The third proportional to 742,407.50 and 1,157,979 is: 1,806,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,407.50 : 1,157,979 = 1,157,979 : x
  2. Step 2: Convert to fraction form
    742,407.50/1,157,979 = 1,157,979/x
  3. Step 3: Cross multiply
    742,407.50x = 1,157,979 × 1,157,979
  4. Step 4: Simplify right side
    742,407.50x = 1,340,915,364,441
  5. Step 5: Solve for x
    x = 1,340,915,364,441/742,407.50
  6. Step 6: Final answer
    x = 1,806,171.63

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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.