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Finding the Third Proportional to 493,130 and 630,129

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Solution

The third proportional to 493,130 and 630,129 is: 805,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,130 : 630,129 = 630,129 : x
  2. Step 2: Convert to fraction form
    493,130/630,129 = 630,129/x
  3. Step 3: Cross multiply
    493,130x = 630,129 × 630,129
  4. Step 4: Simplify right side
    493,130x = 397,062,556,641
  5. Step 5: Solve for x
    x = 397,062,556,641/493,130
  6. Step 6: Final answer
    x = 805,188.40

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.