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Finding the Third Proportional to 315,130 and 453,010

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Solution

The third proportional to 315,130 and 453,010 is: 651,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,130 : 453,010 = 453,010 : x
  2. Step 2: Convert to fraction form
    315,130/453,010 = 453,010/x
  3. Step 3: Cross multiply
    315,130x = 453,010 × 453,010
  4. Step 4: Simplify right side
    315,130x = 205,218,060,100
  5. Step 5: Solve for x
    x = 205,218,060,100/315,130
  6. Step 6: Final answer
    x = 651,217.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.