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Finding the Third Proportional to 1,340,326,050 and 2,921,986,197

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Solution

The third proportional to 1,340,326,050 and 2,921,986,197 is: 6,370,094,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,326,050 : 2,921,986,197 = 2,921,986,197 : x
  2. Step 2: Convert to fraction form
    1,340,326,050/2,921,986,197 = 2,921,986,197/x
  3. Step 3: Cross multiply
    1,340,326,050x = 2,921,986,197 × 2,921,986,197
  4. Step 4: Simplify right side
    1,340,326,050x = 8,538,003,335,458,523,136
  5. Step 5: Solve for x
    x = 8,538,003,335,458,523,136/1,340,326,050
  6. Step 6: Final answer
    x = 6,370,094,303.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.