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Finding the Third Proportional to 338,374,574 and 509,802,117

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Solution

The third proportional to 338,374,574 and 509,802,117 is: 768,078,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,374,574 : 509,802,117 = 509,802,117 : x
  2. Step 2: Convert to fraction form
    338,374,574/509,802,117 = 509,802,117/x
  3. Step 3: Cross multiply
    338,374,574x = 509,802,117 × 509,802,117
  4. Step 4: Simplify right side
    338,374,574x = 259,898,198,497,681,696
  5. Step 5: Solve for x
    x = 259,898,198,497,681,696/338,374,574
  6. Step 6: Final answer
    x = 768,078,391.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.