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Finding the Third Proportional to 139,685.25 and 310,987.50

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Solution

The third proportional to 139,685.25 and 310,987.50 is: 692,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,685.25 : 310,987.50 = 310,987.50 : x
  2. Step 2: Convert to fraction form
    139,685.25/310,987.50 = 310,987.50/x
  3. Step 3: Cross multiply
    139,685.25x = 310,987.50 × 310,987.50
  4. Step 4: Simplify right side
    139,685.25x = 96,713,225,156.25
  5. Step 5: Solve for x
    x = 96,713,225,156.25/139,685.25
  6. Step 6: Final answer
    x = 692,365.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.