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Finding the Third Proportional to 78,666,378 and 123,404,223

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Solution

The third proportional to 78,666,378 and 123,404,223 is: 193,584,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,666,378 : 123,404,223 = 123,404,223 : x
  2. Step 2: Convert to fraction form
    78,666,378/123,404,223 = 123,404,223/x
  3. Step 3: Cross multiply
    78,666,378x = 123,404,223 × 123,404,223
  4. Step 4: Simplify right side
    78,666,378x = 15,228,602,254,233,728
  5. Step 5: Solve for x
    x = 15,228,602,254,233,728/78,666,378
  6. Step 6: Final answer
    x = 193,584,637.32

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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.