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Finding the Third Proportional to 310,795,756,042 and 676,318,794,482.50

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Solution

The third proportional to 310,795,756,042 and 676,318,794,482.50 is: 1,471,728,950,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,795,756,042 : 676,318,794,482.50 = 676,318,794,482.50 : x
  2. Step 2: Convert to fraction form
    310,795,756,042/676,318,794,482.50 = 676,318,794,482.50/x
  3. Step 3: Cross multiply
    310,795,756,042x = 676,318,794,482.50 × 676,318,794,482.50
  4. Step 4: Simplify right side
    310,795,756,042x = 457,407,111,770,262,091,071,488
  5. Step 5: Solve for x
    x = 457,407,111,770,262,091,071,488/310,795,756,042
  6. Step 6: Final answer
    x = 1,471,728,950,212.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.