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Finding the Third Proportional to 308,312,394.75 and 727,585,958.25

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Solution

The third proportional to 308,312,394.75 and 727,585,958.25 is: 1,717,029,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,312,394.75 : 727,585,958.25 = 727,585,958.25 : x
  2. Step 2: Convert to fraction form
    308,312,394.75/727,585,958.25 = 727,585,958.25/x
  3. Step 3: Cross multiply
    308,312,394.75x = 727,585,958.25 × 727,585,958.25
  4. Step 4: Simplify right side
    308,312,394.75x = 529,381,326,642,570,752
  5. Step 5: Solve for x
    x = 529,381,326,642,570,752/308,312,394.75
  6. Step 6: Final answer
    x = 1,717,029,012.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.