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Finding the Third Proportional to 308,046 and 676,572

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Solution

The third proportional to 308,046 and 676,572 is: 1,485,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046 : 676,572 = 676,572 : x
  2. Step 2: Convert to fraction form
    308,046/676,572 = 676,572/x
  3. Step 3: Cross multiply
    308,046x = 676,572 × 676,572
  4. Step 4: Simplify right side
    308,046x = 457,749,671,184
  5. Step 5: Solve for x
    x = 457,749,671,184/308,046
  6. Step 6: Final answer
    x = 1,485,978.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.