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Finding the Third Proportional to 852,962,982 and 1,310,483,350.50

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Solution

The third proportional to 852,962,982 and 1,310,483,350.50 is: 2,013,412,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,962,982 : 1,310,483,350.50 = 1,310,483,350.50 : x
  2. Step 2: Convert to fraction form
    852,962,982/1,310,483,350.50 = 1,310,483,350.50/x
  3. Step 3: Cross multiply
    852,962,982x = 1,310,483,350.50 × 1,310,483,350.50
  4. Step 4: Simplify right side
    852,962,982x = 1,717,366,611,937,705,728
  5. Step 5: Solve for x
    x = 1,717,366,611,937,705,728/852,962,982
  6. Step 6: Final answer
    x = 2,013,412,830.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.