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Finding the Third Proportional to 130,958,834 and 285,168,213

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Solution

The third proportional to 130,958,834 and 285,168,213 is: 620,965,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,958,834 : 285,168,213 = 285,168,213 : x
  2. Step 2: Convert to fraction form
    130,958,834/285,168,213 = 285,168,213/x
  3. Step 3: Cross multiply
    130,958,834x = 285,168,213 × 285,168,213
  4. Step 4: Simplify right side
    130,958,834x = 81,320,909,705,613,376
  5. Step 5: Solve for x
    x = 81,320,909,705,613,376/130,958,834
  6. Step 6: Final answer
    x = 620,965,437.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.