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Finding the Third Proportional to 308,140 and 646,088

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Solution

The third proportional to 308,140 and 646,088 is: 1,354,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,140 : 646,088 = 646,088 : x
  2. Step 2: Convert to fraction form
    308,140/646,088 = 646,088/x
  3. Step 3: Cross multiply
    308,140x = 646,088 × 646,088
  4. Step 4: Simplify right side
    308,140x = 417,429,703,744
  5. Step 5: Solve for x
    x = 417,429,703,744/308,140
  6. Step 6: Final answer
    x = 1,354,675.48

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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.