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Finding the Third Proportional to 660,054,786 and 1,398,791,964

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Solution

The third proportional to 660,054,786 and 1,398,791,964 is: 2,964,328,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,054,786 : 1,398,791,964 = 1,398,791,964 : x
  2. Step 2: Convert to fraction form
    660,054,786/1,398,791,964 = 1,398,791,964/x
  3. Step 3: Cross multiply
    660,054,786x = 1,398,791,964 × 1,398,791,964
  4. Step 4: Simplify right side
    660,054,786x = 1,956,618,958,550,977,280
  5. Step 5: Solve for x
    x = 1,956,618,958,550,977,280/660,054,786
  6. Step 6: Final answer
    x = 2,964,328,113.44

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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.