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Finding the Third Proportional to 116,569,783 and 252,807,856

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Solution

The third proportional to 116,569,783 and 252,807,856 is: 548,270,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569,783 : 252,807,856 = 252,807,856 : x
  2. Step 2: Convert to fraction form
    116,569,783/252,807,856 = 252,807,856/x
  3. Step 3: Cross multiply
    116,569,783x = 252,807,856 × 252,807,856
  4. Step 4: Simplify right side
    116,569,783x = 63,911,812,055,316,736
  5. Step 5: Solve for x
    x = 63,911,812,055,316,736/116,569,783
  6. Step 6: Final answer
    x = 548,270,833.23

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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.