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Finding the Third Proportional to 405,699 and 630,660

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Solution

The third proportional to 405,699 and 630,660 is: 980,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,699 : 630,660 = 630,660 : x
  2. Step 2: Convert to fraction form
    405,699/630,660 = 630,660/x
  3. Step 3: Cross multiply
    405,699x = 630,660 × 630,660
  4. Step 4: Simplify right side
    405,699x = 397,732,035,600
  5. Step 5: Solve for x
    x = 397,732,035,600/405,699
  6. Step 6: Final answer
    x = 980,362.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.