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Finding the Third Proportional to 356,132,720.25 and 784,719,588.66

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Solution

The third proportional to 356,132,720.25 and 784,719,588.66 is: 1,729,088,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,132,720.25 : 784,719,588.66 = 784,719,588.66 : x
  2. Step 2: Convert to fraction form
    356,132,720.25/784,719,588.66 = 784,719,588.66/x
  3. Step 3: Cross multiply
    356,132,720.25x = 784,719,588.66 × 784,719,588.66
  4. Step 4: Simplify right side
    356,132,720.25x = 615,784,832,820,834,176
  5. Step 5: Solve for x
    x = 615,784,832,820,834,176/356,132,720.25
  6. Step 6: Final answer
    x = 1,729,088,055.68

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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.