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Finding the Third Proportional to 121,818,432 and 263,709,312

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Solution

The third proportional to 121,818,432 and 263,709,312 is: 570,870,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,818,432 : 263,709,312 = 263,709,312 : x
  2. Step 2: Convert to fraction form
    121,818,432/263,709,312 = 263,709,312/x
  3. Step 3: Cross multiply
    121,818,432x = 263,709,312 × 263,709,312
  4. Step 4: Simplify right side
    121,818,432x = 69,542,601,235,513,344
  5. Step 5: Solve for x
    x = 69,542,601,235,513,344/121,818,432
  6. Step 6: Final answer
    x = 570,870,927.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.