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Finding the Third Proportional to 306,308 and 648,984

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Solution

The third proportional to 306,308 and 648,984 is: 1,375,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,308 : 648,984 = 648,984 : x
  2. Step 2: Convert to fraction form
    306,308/648,984 = 648,984/x
  3. Step 3: Cross multiply
    306,308x = 648,984 × 648,984
  4. Step 4: Simplify right side
    306,308x = 421,180,232,256
  5. Step 5: Solve for x
    x = 421,180,232,256/306,308
  6. Step 6: Final answer
    x = 1,375,021.98

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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.