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Finding the Third Proportional to 143,770,464 and 314,908,134.75

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Solution

The third proportional to 143,770,464 and 314,908,134.75 is: 689,760,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,770,464 : 314,908,134.75 = 314,908,134.75 : x
  2. Step 2: Convert to fraction form
    143,770,464/314,908,134.75 = 314,908,134.75/x
  3. Step 3: Cross multiply
    143,770,464x = 314,908,134.75 × 314,908,134.75
  4. Step 4: Simplify right side
    143,770,464x = 99,167,133,331,724,160
  5. Step 5: Solve for x
    x = 99,167,133,331,724,160/143,770,464
  6. Step 6: Final answer
    x = 689,760,125.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.