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Finding the Third Proportional to 520,254,288 and 1,068,088,818

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Solution

The third proportional to 520,254,288 and 1,068,088,818 is: 2,192,800,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,254,288 : 1,068,088,818 = 1,068,088,818 : x
  2. Step 2: Convert to fraction form
    520,254,288/1,068,088,818 = 1,068,088,818/x
  3. Step 3: Cross multiply
    520,254,288x = 1,068,088,818 × 1,068,088,818
  4. Step 4: Simplify right side
    520,254,288x = 1,140,813,723,136,637,184
  5. Step 5: Solve for x
    x = 1,140,813,723,136,637,184/520,254,288
  6. Step 6: Final answer
    x = 2,192,800,231.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.