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Finding the Third Proportional to 453,428 and 666,318

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Solution

The third proportional to 453,428 and 666,318 is: 979,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,428 : 666,318 = 666,318 : x
  2. Step 2: Convert to fraction form
    453,428/666,318 = 666,318/x
  3. Step 3: Cross multiply
    453,428x = 666,318 × 666,318
  4. Step 4: Simplify right side
    453,428x = 443,979,677,124
  5. Step 5: Solve for x
    x = 443,979,677,124/453,428
  6. Step 6: Final answer
    x = 979,162.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.