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Finding the Third Proportional to 75,645 and 102,783

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Solution

The third proportional to 75,645 and 102,783 is: 139,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645 : 102,783 = 102,783 : x
  2. Step 2: Convert to fraction form
    75,645/102,783 = 102,783/x
  3. Step 3: Cross multiply
    75,645x = 102,783 × 102,783
  4. Step 4: Simplify right side
    75,645x = 10,564,345,089
  5. Step 5: Solve for x
    x = 10,564,345,089/75,645
  6. Step 6: Final answer
    x = 139,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.