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Finding the Third Proportional to 478,455 and 770,898

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Solution

The third proportional to 478,455 and 770,898 is: 1,242,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,455 : 770,898 = 770,898 : x
  2. Step 2: Convert to fraction form
    478,455/770,898 = 770,898/x
  3. Step 3: Cross multiply
    478,455x = 770,898 × 770,898
  4. Step 4: Simplify right side
    478,455x = 594,283,726,404
  5. Step 5: Solve for x
    x = 594,283,726,404/478,455
  6. Step 6: Final answer
    x = 1,242,089.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.