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Finding the Third Proportional to 188,503 and 390,127

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Solution

The third proportional to 188,503 and 390,127 is: 807,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,503 : 390,127 = 390,127 : x
  2. Step 2: Convert to fraction form
    188,503/390,127 = 390,127/x
  3. Step 3: Cross multiply
    188,503x = 390,127 × 390,127
  4. Step 4: Simplify right side
    188,503x = 152,199,076,129
  5. Step 5: Solve for x
    x = 152,199,076,129/188,503
  6. Step 6: Final answer
    x = 807,409.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.