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Finding the Third Proportional to 144,139 and 306,988

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Solution

The third proportional to 144,139 and 306,988 is: 653,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,139 : 306,988 = 306,988 : x
  2. Step 2: Convert to fraction form
    144,139/306,988 = 306,988/x
  3. Step 3: Cross multiply
    144,139x = 306,988 × 306,988
  4. Step 4: Simplify right side
    144,139x = 94,241,632,144
  5. Step 5: Solve for x
    x = 94,241,632,144/144,139
  6. Step 6: Final answer
    x = 653,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.