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Finding the Third Proportional to 343,361.50 and 745,831.50

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Solution

The third proportional to 343,361.50 and 745,831.50 is: 1,620,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,361.50 : 745,831.50 = 745,831.50 : x
  2. Step 2: Convert to fraction form
    343,361.50/745,831.50 = 745,831.50/x
  3. Step 3: Cross multiply
    343,361.50x = 745,831.50 × 745,831.50
  4. Step 4: Simplify right side
    343,361.50x = 556,264,626,392.25
  5. Step 5: Solve for x
    x = 556,264,626,392.25/343,361.50
  6. Step 6: Final answer
    x = 1,620,055.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.