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Finding the Third Proportional to 515,712 and 788,391

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Solution

The third proportional to 515,712 and 788,391 is: 1,205,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,712 : 788,391 = 788,391 : x
  2. Step 2: Convert to fraction form
    515,712/788,391 = 788,391/x
  3. Step 3: Cross multiply
    515,712x = 788,391 × 788,391
  4. Step 4: Simplify right side
    515,712x = 621,560,368,881
  5. Step 5: Solve for x
    x = 621,560,368,881/515,712
  6. Step 6: Final answer
    x = 1,205,247.05

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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.