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Finding the Third Proportional to 58,842 and 83,853

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Solution

The third proportional to 58,842 and 83,853 is: 119,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842 : 83,853 = 83,853 : x
  2. Step 2: Convert to fraction form
    58,842/83,853 = 83,853/x
  3. Step 3: Cross multiply
    58,842x = 83,853 × 83,853
  4. Step 4: Simplify right side
    58,842x = 7,031,325,609
  5. Step 5: Solve for x
    x = 7,031,325,609/58,842
  6. Step 6: Final answer
    x = 119,495.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.