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Finding the Third Proportional to 129,388,761 and 278,507,259

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Solution

The third proportional to 129,388,761 and 278,507,259 is: 599,482,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,388,761 : 278,507,259 = 278,507,259 : x
  2. Step 2: Convert to fraction form
    129,388,761/278,507,259 = 278,507,259/x
  3. Step 3: Cross multiply
    129,388,761x = 278,507,259 × 278,507,259
  4. Step 4: Simplify right side
    129,388,761x = 77,566,293,315,693,088
  5. Step 5: Solve for x
    x = 77,566,293,315,693,088/129,388,761
  6. Step 6: Final answer
    x = 599,482,464.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.