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Finding the Third Proportional to 475,308 and 742,122

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Solution

The third proportional to 475,308 and 742,122 is: 1,158,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,308 : 742,122 = 742,122 : x
  2. Step 2: Convert to fraction form
    475,308/742,122 = 742,122/x
  3. Step 3: Cross multiply
    475,308x = 742,122 × 742,122
  4. Step 4: Simplify right side
    475,308x = 550,745,062,884
  5. Step 5: Solve for x
    x = 550,745,062,884/475,308
  6. Step 6: Final answer
    x = 1,158,711.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.