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Finding the Third Proportional to 577,734 and 845,206.50

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Solution

The third proportional to 577,734 and 845,206.50 is: 1,236,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,734 : 845,206.50 = 845,206.50 : x
  2. Step 2: Convert to fraction form
    577,734/845,206.50 = 845,206.50/x
  3. Step 3: Cross multiply
    577,734x = 845,206.50 × 845,206.50
  4. Step 4: Simplify right side
    577,734x = 714,374,027,642.25
  5. Step 5: Solve for x
    x = 714,374,027,642.25/577,734
  6. Step 6: Final answer
    x = 1,236,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.