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Finding the Third Proportional to 515,727 and 788,417

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Solution

The third proportional to 515,727 and 788,417 is: 1,205,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,727 : 788,417 = 788,417 : x
  2. Step 2: Convert to fraction form
    515,727/788,417 = 788,417/x
  3. Step 3: Cross multiply
    515,727x = 788,417 × 788,417
  4. Step 4: Simplify right side
    515,727x = 621,601,365,889
  5. Step 5: Solve for x
    x = 621,601,365,889/515,727
  6. Step 6: Final answer
    x = 1,205,291.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.