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Finding the Third Proportional to 338,688 and 734,400

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Solution

The third proportional to 338,688 and 734,400 is: 1,592,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,688 : 734,400 = 734,400 : x
  2. Step 2: Convert to fraction form
    338,688/734,400 = 734,400/x
  3. Step 3: Cross multiply
    338,688x = 734,400 × 734,400
  4. Step 4: Simplify right side
    338,688x = 539,343,360,000
  5. Step 5: Solve for x
    x = 539,343,360,000/338,688
  6. Step 6: Final answer
    x = 1,592,448.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.