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Finding the Third Proportional to 144,292 and 313,228

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Solution

The third proportional to 144,292 and 313,228 is: 679,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,292 : 313,228 = 313,228 : x
  2. Step 2: Convert to fraction form
    144,292/313,228 = 313,228/x
  3. Step 3: Cross multiply
    144,292x = 313,228 × 313,228
  4. Step 4: Simplify right side
    144,292x = 98,111,779,984
  5. Step 5: Solve for x
    x = 98,111,779,984/144,292
  6. Step 6: Final answer
    x = 679,953.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.