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Finding the Third Proportional to 333,042 and 719,256

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Solution

The third proportional to 333,042 and 719,256 is: 1,553,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,042 : 719,256 = 719,256 : x
  2. Step 2: Convert to fraction form
    333,042/719,256 = 719,256/x
  3. Step 3: Cross multiply
    333,042x = 719,256 × 719,256
  4. Step 4: Simplify right side
    333,042x = 517,329,193,536
  5. Step 5: Solve for x
    x = 517,329,193,536/333,042
  6. Step 6: Final answer
    x = 1,553,345.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.