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Finding the Third Proportional to 405,663.19 and 630,640.69

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Solution

The third proportional to 405,663.19 and 630,640.69 is: 980,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,663.19 : 630,640.69 = 630,640.69 : x
  2. Step 2: Convert to fraction form
    405,663.19/630,640.69 = 630,640.69/x
  3. Step 3: Cross multiply
    405,663.19x = 630,640.69 × 630,640.69
  4. Step 4: Simplify right side
    405,663.19x = 397,707,676,730.47
  5. Step 5: Solve for x
    x = 397,707,676,730.47/405,663.19
  6. Step 6: Final answer
    x = 980,388.88

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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.