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Finding the Third Proportional to 59,316 and 128,888

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Solution

The third proportional to 59,316 and 128,888 is: 280,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,316 : 128,888 = 128,888 : x
  2. Step 2: Convert to fraction form
    59,316/128,888 = 128,888/x
  3. Step 3: Cross multiply
    59,316x = 128,888 × 128,888
  4. Step 4: Simplify right side
    59,316x = 16,612,116,544
  5. Step 5: Solve for x
    x = 16,612,116,544/59,316
  6. Step 6: Final answer
    x = 280,061.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.