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Finding the Third Proportional to 1,043,060,678 and 2,210,478,550

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Solution

The third proportional to 1,043,060,678 and 2,210,478,550 is: 4,684,497,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,060,678 : 2,210,478,550 = 2,210,478,550 : x
  2. Step 2: Convert to fraction form
    1,043,060,678/2,210,478,550 = 2,210,478,550/x
  3. Step 3: Cross multiply
    1,043,060,678x = 2,210,478,550 × 2,210,478,550
  4. Step 4: Simplify right side
    1,043,060,678x = 4,886,215,420,010,102,784
  5. Step 5: Solve for x
    x = 4,886,215,420,010,102,784/1,043,060,678
  6. Step 6: Final answer
    x = 4,684,497,769.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.