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Finding the Third Proportional to 1,142,608,104 and 2,317,343,746

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Solution

The third proportional to 1,142,608,104 and 2,317,343,746 is: 4,699,845,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,608,104 : 2,317,343,746 = 2,317,343,746 : x
  2. Step 2: Convert to fraction form
    1,142,608,104/2,317,343,746 = 2,317,343,746/x
  3. Step 3: Cross multiply
    1,142,608,104x = 2,317,343,746 × 2,317,343,746
  4. Step 4: Simplify right side
    1,142,608,104x = 5,370,082,037,125,312,512
  5. Step 5: Solve for x
    x = 5,370,082,037,125,312,512/1,142,608,104
  6. Step 6: Final answer
    x = 4,699,845,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.