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Finding the Third Proportional to 838,522,921 and 1,816,791,480

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Solution

The third proportional to 838,522,921 and 1,816,791,480 is: 3,936,363,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,522,921 : 1,816,791,480 = 1,816,791,480 : x
  2. Step 2: Convert to fraction form
    838,522,921/1,816,791,480 = 1,816,791,480/x
  3. Step 3: Cross multiply
    838,522,921x = 1,816,791,480 × 1,816,791,480
  4. Step 4: Simplify right side
    838,522,921x = 3,300,731,281,800,590,336
  5. Step 5: Solve for x
    x = 3,300,731,281,800,590,336/838,522,921
  6. Step 6: Final answer
    x = 3,936,363,812.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.