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Finding the Third Proportional to 255,548,794.50 and 555,872,121

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Solution

The third proportional to 255,548,794.50 and 555,872,121 is: 1,209,138,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,548,794.50 : 555,872,121 = 555,872,121 : x
  2. Step 2: Convert to fraction form
    255,548,794.50/555,872,121 = 555,872,121/x
  3. Step 3: Cross multiply
    255,548,794.50x = 555,872,121 × 555,872,121
  4. Step 4: Simplify right side
    255,548,794.50x = 308,993,814,905,038,656
  5. Step 5: Solve for x
    x = 308,993,814,905,038,656/255,548,794.50
  6. Step 6: Final answer
    x = 1,209,138,221.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.