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Finding the Third Proportional to 75,528 and 105,877

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Solution

The third proportional to 75,528 and 105,877 is: 148,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,528 : 105,877 = 105,877 : x
  2. Step 2: Convert to fraction form
    75,528/105,877 = 105,877/x
  3. Step 3: Cross multiply
    75,528x = 105,877 × 105,877
  4. Step 4: Simplify right side
    75,528x = 11,209,939,129
  5. Step 5: Solve for x
    x = 11,209,939,129/75,528
  6. Step 6: Final answer
    x = 148,420.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.