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Finding the Third Proportional to 410,148 and 620,688

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Solution

The third proportional to 410,148 and 620,688 is: 939,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,148 : 620,688 = 620,688 : x
  2. Step 2: Convert to fraction form
    410,148/620,688 = 620,688/x
  3. Step 3: Cross multiply
    410,148x = 620,688 × 620,688
  4. Step 4: Simplify right side
    410,148x = 385,253,593,344
  5. Step 5: Solve for x
    x = 385,253,593,344/410,148
  6. Step 6: Final answer
    x = 939,303.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.