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Finding the Third Proportional to 315,072 and 656,712

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Solution

The third proportional to 315,072 and 656,712 is: 1,368,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,072 : 656,712 = 656,712 : x
  2. Step 2: Convert to fraction form
    315,072/656,712 = 656,712/x
  3. Step 3: Cross multiply
    315,072x = 656,712 × 656,712
  4. Step 4: Simplify right side
    315,072x = 431,270,650,944
  5. Step 5: Solve for x
    x = 431,270,650,944/315,072
  6. Step 6: Final answer
    x = 1,368,800.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.