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Finding the Third Proportional to 155,536 and 321,440

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Solution

The third proportional to 155,536 and 321,440 is: 664,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 321,440 = 321,440 : x
  2. Step 2: Convert to fraction form
    155,536/321,440 = 321,440/x
  3. Step 3: Cross multiply
    155,536x = 321,440 × 321,440
  4. Step 4: Simplify right side
    155,536x = 103,323,673,600
  5. Step 5: Solve for x
    x = 103,323,673,600/155,536
  6. Step 6: Final answer
    x = 664,307.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.