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Finding the Third Proportional to 343,727,767.50 and 703,339,726.50

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Solution

The third proportional to 343,727,767.50 and 703,339,726.50 is: 1,439,181,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,727,767.50 : 703,339,726.50 = 703,339,726.50 : x
  2. Step 2: Convert to fraction form
    343,727,767.50/703,339,726.50 = 703,339,726.50/x
  3. Step 3: Cross multiply
    343,727,767.50x = 703,339,726.50 × 703,339,726.50
  4. Step 4: Simplify right side
    343,727,767.50x = 494,686,770,873,094,784
  5. Step 5: Solve for x
    x = 494,686,770,873,094,784/343,727,767.50
  6. Step 6: Final answer
    x = 1,439,181,869.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.