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Finding the Third Proportional to 66,555,768 and 145,360,116

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Solution

The third proportional to 66,555,768 and 145,360,116 is: 317,471,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555,768 : 145,360,116 = 145,360,116 : x
  2. Step 2: Convert to fraction form
    66,555,768/145,360,116 = 145,360,116/x
  3. Step 3: Cross multiply
    66,555,768x = 145,360,116 × 145,360,116
  4. Step 4: Simplify right side
    66,555,768x = 21,129,563,323,533,456
  5. Step 5: Solve for x
    x = 21,129,563,323,533,456/66,555,768
  6. Step 6: Final answer
    x = 317,471,557.44

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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.