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Finding the Third Proportional to 714,078,846 and 1,103,433,867

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Solution

The third proportional to 714,078,846 and 1,103,433,867 is: 1,705,086,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,078,846 : 1,103,433,867 = 1,103,433,867 : x
  2. Step 2: Convert to fraction form
    714,078,846/1,103,433,867 = 1,103,433,867/x
  3. Step 3: Cross multiply
    714,078,846x = 1,103,433,867 × 1,103,433,867
  4. Step 4: Simplify right side
    714,078,846x = 1,217,566,298,842,573,568
  5. Step 5: Solve for x
    x = 1,217,566,298,842,573,568/714,078,846
  6. Step 6: Final answer
    x = 1,705,086,638.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.