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Finding the Third Proportional to 218,819,608 and 346,495,308

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Solution

The third proportional to 218,819,608 and 346,495,308 is: 548,666,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819,608 : 346,495,308 = 346,495,308 : x
  2. Step 2: Convert to fraction form
    218,819,608/346,495,308 = 346,495,308/x
  3. Step 3: Cross multiply
    218,819,608x = 346,495,308 × 346,495,308
  4. Step 4: Simplify right side
    218,819,608x = 120,058,998,466,014,864
  5. Step 5: Solve for x
    x = 120,058,998,466,014,864/218,819,608
  6. Step 6: Final answer
    x = 548,666,545.76

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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.