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Finding the Third Proportional to 315,130 and 459,153

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Solution

The third proportional to 315,130 and 459,153 is: 668,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,130 : 459,153 = 459,153 : x
  2. Step 2: Convert to fraction form
    315,130/459,153 = 459,153/x
  3. Step 3: Cross multiply
    315,130x = 459,153 × 459,153
  4. Step 4: Simplify right side
    315,130x = 210,821,477,409
  5. Step 5: Solve for x
    x = 210,821,477,409/315,130
  6. Step 6: Final answer
    x = 668,998.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.