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Finding the Third Proportional to 120,302,493 and 257,870,820

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Solution

The third proportional to 120,302,493 and 257,870,820 is: 552,751,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302,493 : 257,870,820 = 257,870,820 : x
  2. Step 2: Convert to fraction form
    120,302,493/257,870,820 = 257,870,820/x
  3. Step 3: Cross multiply
    120,302,493x = 257,870,820 × 257,870,820
  4. Step 4: Simplify right side
    120,302,493x = 66,497,359,807,472,400
  5. Step 5: Solve for x
    x = 66,497,359,807,472,400/120,302,493
  6. Step 6: Final answer
    x = 552,751,303.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.