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Finding the Third Proportional to 153,064 and 324,656

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Solution

The third proportional to 153,064 and 324,656 is: 688,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,064 : 324,656 = 324,656 : x
  2. Step 2: Convert to fraction form
    153,064/324,656 = 324,656/x
  3. Step 3: Cross multiply
    153,064x = 324,656 × 324,656
  4. Step 4: Simplify right side
    153,064x = 105,401,518,336
  5. Step 5: Solve for x
    x = 105,401,518,336/153,064
  6. Step 6: Final answer
    x = 688,610.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.