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Finding the Third Proportional to 397,303.50 and 510,129

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Solution

The third proportional to 397,303.50 and 510,129 is: 654,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,303.50 : 510,129 = 510,129 : x
  2. Step 2: Convert to fraction form
    397,303.50/510,129 = 510,129/x
  3. Step 3: Cross multiply
    397,303.50x = 510,129 × 510,129
  4. Step 4: Simplify right side
    397,303.50x = 260,231,596,641
  5. Step 5: Solve for x
    x = 260,231,596,641/397,303.50
  6. Step 6: Final answer
    x = 654,994.47

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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.