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Finding the Third Proportional to 323,307.28 and 489,438.28

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Solution

The third proportional to 323,307.28 and 489,438.28 is: 740,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,307.28 : 489,438.28 = 489,438.28 : x
  2. Step 2: Convert to fraction form
    323,307.28/489,438.28 = 489,438.28/x
  3. Step 3: Cross multiply
    323,307.28x = 489,438.28 × 489,438.28
  4. Step 4: Simplify right side
    323,307.28x = 239,549,831,152.95
  5. Step 5: Solve for x
    x = 239,549,831,152.95/323,307.28
  6. Step 6: Final answer
    x = 740,935.47

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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.