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Finding the Third Proportional to 489,870.91 and 742,190.34

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Solution

The third proportional to 489,870.91 and 742,190.34 is: 1,124,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,870.91 : 742,190.34 = 742,190.34 : x
  2. Step 2: Convert to fraction form
    489,870.91/742,190.34 = 742,190.34/x
  3. Step 3: Cross multiply
    489,870.91x = 742,190.34 × 742,190.34
  4. Step 4: Simplify right side
    489,870.91x = 550,846,506,355.74
  5. Step 5: Solve for x
    x = 550,846,506,355.74/489,870.91
  6. Step 6: Final answer
    x = 1,124,472.78

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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.