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Finding the Third Proportional to 453,700 and 696,412

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Solution

The third proportional to 453,700 and 696,412 is: 1,068,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,700 : 696,412 = 696,412 : x
  2. Step 2: Convert to fraction form
    453,700/696,412 = 696,412/x
  3. Step 3: Cross multiply
    453,700x = 696,412 × 696,412
  4. Step 4: Simplify right side
    453,700x = 484,989,673,744
  5. Step 5: Solve for x
    x = 484,989,673,744/453,700
  6. Step 6: Final answer
    x = 1,068,965.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.