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Finding the Third Proportional to 139,572 and 310,104

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Solution

The third proportional to 139,572 and 310,104 is: 688,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,572 : 310,104 = 310,104 : x
  2. Step 2: Convert to fraction form
    139,572/310,104 = 310,104/x
  3. Step 3: Cross multiply
    139,572x = 310,104 × 310,104
  4. Step 4: Simplify right side
    139,572x = 96,164,490,816
  5. Step 5: Solve for x
    x = 96,164,490,816/139,572
  6. Step 6: Final answer
    x = 688,995.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.