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Finding the Third Proportional to 257,378,136.75 and 362,445,129

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Solution

The third proportional to 257,378,136.75 and 362,445,129 is: 510,402,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,378,136.75 : 362,445,129 = 362,445,129 : x
  2. Step 2: Convert to fraction form
    257,378,136.75/362,445,129 = 362,445,129/x
  3. Step 3: Cross multiply
    257,378,136.75x = 362,445,129 × 362,445,129
  4. Step 4: Simplify right side
    257,378,136.75x = 131,366,471,535,826,640
  5. Step 5: Solve for x
    x = 131,366,471,535,826,640/257,378,136.75
  6. Step 6: Final answer
    x = 510,402,605.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.