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Finding the Third Proportional to 78,631,155 and 123,080,303.25

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Solution

The third proportional to 78,631,155 and 123,080,303.25 is: 192,655,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,631,155 : 123,080,303.25 = 123,080,303.25 : x
  2. Step 2: Convert to fraction form
    78,631,155/123,080,303.25 = 123,080,303.25/x
  3. Step 3: Cross multiply
    78,631,155x = 123,080,303.25 × 123,080,303.25
  4. Step 4: Simplify right side
    78,631,155x = 15,148,761,048,111,960
  5. Step 5: Solve for x
    x = 15,148,761,048,111,960/78,631,155
  6. Step 6: Final answer
    x = 192,655,965.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.