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Finding the Third Proportional to 343,751,427 and 545,211,100.50

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Solution

The third proportional to 343,751,427 and 545,211,100.50 is: 864,738,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,751,427 : 545,211,100.50 = 545,211,100.50 : x
  2. Step 2: Convert to fraction form
    343,751,427/545,211,100.50 = 545,211,100.50/x
  3. Step 3: Cross multiply
    343,751,427x = 545,211,100.50 × 545,211,100.50
  4. Step 4: Simplify right side
    343,751,427x = 297,255,144,108,421,120
  5. Step 5: Solve for x
    x = 297,255,144,108,421,120/343,751,427
  6. Step 6: Final answer
    x = 864,738,647.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.