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Finding the Third Proportional to 393,886,396 and 911,775,730

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Solution

The third proportional to 393,886,396 and 911,775,730 is: 2,110,595,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,886,396 : 911,775,730 = 911,775,730 : x
  2. Step 2: Convert to fraction form
    393,886,396/911,775,730 = 911,775,730/x
  3. Step 3: Cross multiply
    393,886,396x = 911,775,730 × 911,775,730
  4. Step 4: Simplify right side
    393,886,396x = 831,334,981,817,032,960
  5. Step 5: Solve for x
    x = 831,334,981,817,032,960/393,886,396
  6. Step 6: Final answer
    x = 2,110,595,822.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.