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Finding the Third Proportional to 489,840.54 and 742,150.48

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Solution

The third proportional to 489,840.54 and 742,150.48 is: 1,124,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,840.54 : 742,150.48 = 742,150.48 : x
  2. Step 2: Convert to fraction form
    489,840.54/742,150.48 = 742,150.48/x
  3. Step 3: Cross multiply
    489,840.54x = 742,150.48 × 742,150.48
  4. Step 4: Simplify right side
    489,840.54x = 550,787,329,861.95
  5. Step 5: Solve for x
    x = 550,787,329,861.95/489,840.54
  6. Step 6: Final answer
    x = 1,124,421.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.