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Finding the Third Proportional to 620,819,658 and 863,191,431

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Solution

The third proportional to 620,819,658 and 863,191,431 is: 1,200,186,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,819,658 : 863,191,431 = 863,191,431 : x
  2. Step 2: Convert to fraction form
    620,819,658/863,191,431 = 863,191,431/x
  3. Step 3: Cross multiply
    620,819,658x = 863,191,431 × 863,191,431
  4. Step 4: Simplify right side
    620,819,658x = 745,099,446,551,827,712
  5. Step 5: Solve for x
    x = 745,099,446,551,827,712/620,819,658
  6. Step 6: Final answer
    x = 1,200,186,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.