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Finding the Third Proportional to 296,310 and 656,684

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Solution

The third proportional to 296,310 and 656,684 is: 1,455,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,310 : 656,684 = 656,684 : x
  2. Step 2: Convert to fraction form
    296,310/656,684 = 656,684/x
  3. Step 3: Cross multiply
    296,310x = 656,684 × 656,684
  4. Step 4: Simplify right side
    296,310x = 431,233,875,856
  5. Step 5: Solve for x
    x = 431,233,875,856/296,310
  6. Step 6: Final answer
    x = 1,455,347.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.