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Finding the Third Proportional to 78,750,314 and 123,254,703

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Solution

The third proportional to 78,750,314 and 123,254,703 is: 192,909,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,750,314 : 123,254,703 = 123,254,703 : x
  2. Step 2: Convert to fraction form
    78,750,314/123,254,703 = 123,254,703/x
  3. Step 3: Cross multiply
    78,750,314x = 123,254,703 × 123,254,703
  4. Step 4: Simplify right side
    78,750,314x = 15,191,721,811,618,208
  5. Step 5: Solve for x
    x = 15,191,721,811,618,208/78,750,314
  6. Step 6: Final answer
    x = 192,909,983.97

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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.