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Finding the Third Proportional to 257,529,678.75 and 557,810,833.50

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Solution

The third proportional to 257,529,678.75 and 557,810,833.50 is: 1,208,221,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,529,678.75 : 557,810,833.50 = 557,810,833.50 : x
  2. Step 2: Convert to fraction form
    257,529,678.75/557,810,833.50 = 557,810,833.50/x
  3. Step 3: Cross multiply
    257,529,678.75x = 557,810,833.50 × 557,810,833.50
  4. Step 4: Simplify right side
    257,529,678.75x = 311,152,925,969,964,736
  5. Step 5: Solve for x
    x = 311,152,925,969,964,736/257,529,678.75
  6. Step 6: Final answer
    x = 1,208,221,621.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.