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Finding the Third Proportional to 489,223.13 and 778,303.69

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Solution

The third proportional to 489,223.13 and 778,303.69 is: 1,238,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,223.13 : 778,303.69 = 778,303.69 : x
  2. Step 2: Convert to fraction form
    489,223.13/778,303.69 = 778,303.69/x
  3. Step 3: Cross multiply
    489,223.13x = 778,303.69 × 778,303.69
  4. Step 4: Simplify right side
    489,223.13x = 605,756,629,976.10
  5. Step 5: Solve for x
    x = 605,756,629,976.10/489,223.13
  6. Step 6: Final answer
    x = 1,238,201.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.