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Finding the Third Proportional to 356,133,090.38 and 784,720,328.81

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Solution

The third proportional to 356,133,090.38 and 784,720,328.81 is: 1,729,089,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,133,090.38 : 784,720,328.81 = 784,720,328.81 : x
  2. Step 2: Convert to fraction form
    356,133,090.38/784,720,328.81 = 784,720,328.81/x
  3. Step 3: Cross multiply
    356,133,090.38x = 784,720,328.81 × 784,720,328.81
  4. Step 4: Simplify right side
    356,133,090.38x = 615,785,994,451,598,080
  5. Step 5: Solve for x
    x = 615,785,994,451,598,080/356,133,090.38
  6. Step 6: Final answer
    x = 1,729,089,520.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.