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Finding the Third Proportional to 497,976 and 778,056

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Solution

The third proportional to 497,976 and 778,056 is: 1,215,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,976 : 778,056 = 778,056 : x
  2. Step 2: Convert to fraction form
    497,976/778,056 = 778,056/x
  3. Step 3: Cross multiply
    497,976x = 778,056 × 778,056
  4. Step 4: Simplify right side
    497,976x = 605,371,139,136
  5. Step 5: Solve for x
    x = 605,371,139,136/497,976
  6. Step 6: Final answer
    x = 1,215,663.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.