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Finding the Third Proportional to 357,831.75 and 778,777.13

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Solution

The third proportional to 357,831.75 and 778,777.13 is: 1,694,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,831.75 : 778,777.13 = 778,777.13 : x
  2. Step 2: Convert to fraction form
    357,831.75/778,777.13 = 778,777.13/x
  3. Step 3: Cross multiply
    357,831.75x = 778,777.13 × 778,777.13
  4. Step 4: Simplify right side
    357,831.75x = 606,493,810,423.27
  5. Step 5: Solve for x
    x = 606,493,810,423.27/357,831.75
  6. Step 6: Final answer
    x = 1,694,913.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.