Home / 380,712,639.38-513,670,739.06

Finding the Third Proportional to 380,712,639.38 and 513,670,739.06

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Solution

The third proportional to 380,712,639.38 and 513,670,739.06 is: 693,062,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712,639.38 : 513,670,739.06 = 513,670,739.06 : x
  2. Step 2: Convert to fraction form
    380,712,639.38/513,670,739.06 = 513,670,739.06/x
  3. Step 3: Cross multiply
    380,712,639.38x = 513,670,739.06 × 513,670,739.06
  4. Step 4: Simplify right side
    380,712,639.38x = 263,857,628,169,014,976
  5. Step 5: Solve for x
    x = 263,857,628,169,014,976/380,712,639.38
  6. Step 6: Final answer
    x = 693,062,433.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.