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Finding the Third Proportional to 310,473,812 and 630,071,059

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Solution

The third proportional to 310,473,812 and 630,071,059 is: 1,278,657,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,473,812 : 630,071,059 = 630,071,059 : x
  2. Step 2: Convert to fraction form
    310,473,812/630,071,059 = 630,071,059/x
  3. Step 3: Cross multiply
    310,473,812x = 630,071,059 × 630,071,059
  4. Step 4: Simplify right side
    310,473,812x = 396,989,539,389,381,504
  5. Step 5: Solve for x
    x = 396,989,539,389,381,504/310,473,812
  6. Step 6: Final answer
    x = 1,278,657,084.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.