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Finding the Third Proportional to 420,008,256 and 605,038,300

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Solution

The third proportional to 420,008,256 and 605,038,300 is: 871,581,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,008,256 : 605,038,300 = 605,038,300 : x
  2. Step 2: Convert to fraction form
    420,008,256/605,038,300 = 605,038,300/x
  3. Step 3: Cross multiply
    420,008,256x = 605,038,300 × 605,038,300
  4. Step 4: Simplify right side
    420,008,256x = 366,071,344,466,889,984
  5. Step 5: Solve for x
    x = 366,071,344,466,889,984/420,008,256
  6. Step 6: Final answer
    x = 871,581,306.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.