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Finding the Third Proportional to 577,905 and 766,818

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Solution

The third proportional to 577,905 and 766,818 is: 1,017,485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,905 : 766,818 = 766,818 : x
  2. Step 2: Convert to fraction form
    577,905/766,818 = 766,818/x
  3. Step 3: Cross multiply
    577,905x = 766,818 × 766,818
  4. Step 4: Simplify right side
    577,905x = 588,009,845,124
  5. Step 5: Solve for x
    x = 588,009,845,124/577,905
  6. Step 6: Final answer
    x = 1,017,485.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.