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Finding the Third Proportional to 665,589,708 and 1,420,217,910

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Solution

The third proportional to 665,589,708 and 1,420,217,910 is: 3,030,423,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,589,708 : 1,420,217,910 = 1,420,217,910 : x
  2. Step 2: Convert to fraction form
    665,589,708/1,420,217,910 = 1,420,217,910/x
  3. Step 3: Cross multiply
    665,589,708x = 1,420,217,910 × 1,420,217,910
  4. Step 4: Simplify right side
    665,589,708x = 2,017,018,911,884,768,000
  5. Step 5: Solve for x
    x = 2,017,018,911,884,768,000/665,589,708
  6. Step 6: Final answer
    x = 3,030,423,829.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.