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Finding the Third Proportional to 69,776 and 148,888

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Solution

The third proportional to 69,776 and 148,888 is: 317,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,776 : 148,888 = 148,888 : x
  2. Step 2: Convert to fraction form
    69,776/148,888 = 148,888/x
  3. Step 3: Cross multiply
    69,776x = 148,888 × 148,888
  4. Step 4: Simplify right side
    69,776x = 22,167,636,544
  5. Step 5: Solve for x
    x = 22,167,636,544/69,776
  6. Step 6: Final answer
    x = 317,697.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.