Home / 97,500-210,991.50

Finding the Third Proportional to 97,500 and 210,991.50

Calculator

Solution

The third proportional to 97,500 and 210,991.50 is: 456,588.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500 : 210,991.50 = 210,991.50 : x
  2. Step 2: Convert to fraction form
    97,500/210,991.50 = 210,991.50/x
  3. Step 3: Cross multiply
    97,500x = 210,991.50 × 210,991.50
  4. Step 4: Simplify right side
    97,500x = 44,517,413,072.25
  5. Step 5: Solve for x
    x = 44,517,413,072.25/97,500
  6. Step 6: Final answer
    x = 456,588.85

Related Problems

Find third proportional to 48,750 and 105,495.75
Half scale
Find third proportional to 195,000 and 421,983
Double scale
Find third proportional to 97,502 and 210,996
Similar ratio
Find third proportional to 146,250 and 316,487.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.