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Finding the Third Proportional to 153,487 and 322,880

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Solution

The third proportional to 153,487 and 322,880 is: 679,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,487 : 322,880 = 322,880 : x
  2. Step 2: Convert to fraction form
    153,487/322,880 = 322,880/x
  3. Step 3: Cross multiply
    153,487x = 322,880 × 322,880
  4. Step 4: Simplify right side
    153,487x = 104,251,494,400
  5. Step 5: Solve for x
    x = 104,251,494,400/153,487
  6. Step 6: Final answer
    x = 679,220.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.