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Finding the Third Proportional to 385,640 and 593,120

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Solution

The third proportional to 385,640 and 593,120 is: 912,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,640 : 593,120 = 593,120 : x
  2. Step 2: Convert to fraction form
    385,640/593,120 = 593,120/x
  3. Step 3: Cross multiply
    385,640x = 593,120 × 593,120
  4. Step 4: Simplify right side
    385,640x = 351,791,334,400
  5. Step 5: Solve for x
    x = 351,791,334,400/385,640
  6. Step 6: Final answer
    x = 912,227.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.