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Finding the Third Proportional to 64,386 and 97,896

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Solution

The third proportional to 64,386 and 97,896 is: 148,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,386 : 97,896 = 97,896 : x
  2. Step 2: Convert to fraction form
    64,386/97,896 = 97,896/x
  3. Step 3: Cross multiply
    64,386x = 97,896 × 97,896
  4. Step 4: Simplify right side
    64,386x = 9,583,626,816
  5. Step 5: Solve for x
    x = 9,583,626,816/64,386
  6. Step 6: Final answer
    x = 148,846.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.