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Finding the Third Proportional to 553,680.56 and 791,762.34

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Solution

The third proportional to 553,680.56 and 791,762.34 is: 1,132,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,680.56 : 791,762.34 = 791,762.34 : x
  2. Step 2: Convert to fraction form
    553,680.56/791,762.34 = 791,762.34/x
  3. Step 3: Cross multiply
    553,680.56x = 791,762.34 × 791,762.34
  4. Step 4: Simplify right side
    553,680.56x = 626,887,608,980.49
  5. Step 5: Solve for x
    x = 626,887,608,980.49/553,680.56
  6. Step 6: Final answer
    x = 1,132,218.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.