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Finding the Third Proportional to 518,721,894 and 1,138,364,118

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Solution

The third proportional to 518,721,894 and 1,138,364,118 is: 2,498,203,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,721,894 : 1,138,364,118 = 1,138,364,118 : x
  2. Step 2: Convert to fraction form
    518,721,894/1,138,364,118 = 1,138,364,118/x
  3. Step 3: Cross multiply
    518,721,894x = 1,138,364,118 × 1,138,364,118
  4. Step 4: Simplify right side
    518,721,894x = 1,295,872,865,149,917,952
  5. Step 5: Solve for x
    x = 1,295,872,865,149,917,952/518,721,894
  6. Step 6: Final answer
    x = 2,498,203,527.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.