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Finding the Third Proportional to 311,157 and 480,553

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Solution

The third proportional to 311,157 and 480,553 is: 742,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,157 : 480,553 = 480,553 : x
  2. Step 2: Convert to fraction form
    311,157/480,553 = 480,553/x
  3. Step 3: Cross multiply
    311,157x = 480,553 × 480,553
  4. Step 4: Simplify right side
    311,157x = 230,931,185,809
  5. Step 5: Solve for x
    x = 230,931,185,809/311,157
  6. Step 6: Final answer
    x = 742,169.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.