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Finding the Third Proportional to 218,819,610 and 346,495,311

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Solution

The third proportional to 218,819,610 and 346,495,311 is: 548,666,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819,610 : 346,495,311 = 346,495,311 : x
  2. Step 2: Convert to fraction form
    218,819,610/346,495,311 = 346,495,311/x
  3. Step 3: Cross multiply
    218,819,610x = 346,495,311 × 346,495,311
  4. Step 4: Simplify right side
    218,819,610x = 120,059,000,544,986,720
  5. Step 5: Solve for x
    x = 120,059,000,544,986,720/218,819,610
  6. Step 6: Final answer
    x = 548,666,550.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.