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Finding the Third Proportional to 489,785.06 and 742,071.38

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Solution

The third proportional to 489,785.06 and 742,071.38 is: 1,124,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,785.06 : 742,071.38 = 742,071.38 : x
  2. Step 2: Convert to fraction form
    489,785.06/742,071.38 = 742,071.38/x
  3. Step 3: Cross multiply
    489,785.06x = 742,071.38 × 742,071.38
  4. Step 4: Simplify right side
    489,785.06x = 550,669,925,594.39
  5. Step 5: Solve for x
    x = 550,669,925,594.39/489,785.06
  6. Step 6: Final answer
    x = 1,124,309.35

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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.