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Finding the Third Proportional to 405,913 and 652,233

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Solution

The third proportional to 405,913 and 652,233 is: 1,048,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,913 : 652,233 = 652,233 : x
  2. Step 2: Convert to fraction form
    405,913/652,233 = 652,233/x
  3. Step 3: Cross multiply
    405,913x = 652,233 × 652,233
  4. Step 4: Simplify right side
    405,913x = 425,407,886,289
  5. Step 5: Solve for x
    x = 425,407,886,289/405,913
  6. Step 6: Final answer
    x = 1,048,027.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.