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Finding the Third Proportional to 257,378,140 and 362,445,134

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Solution

The third proportional to 257,378,140 and 362,445,134 is: 510,402,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,378,140 : 362,445,134 = 362,445,134 : x
  2. Step 2: Convert to fraction form
    257,378,140/362,445,134 = 362,445,134/x
  3. Step 3: Cross multiply
    257,378,140x = 362,445,134 × 362,445,134
  4. Step 4: Simplify right side
    257,378,140x = 131,366,475,160,277,952
  5. Step 5: Solve for x
    x = 131,366,475,160,277,952/257,378,140
  6. Step 6: Final answer
    x = 510,402,612.90

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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.