Home / 145,701-312,138

Finding the Third Proportional to 145,701 and 312,138

Calculator

Solution

The third proportional to 145,701 and 312,138 is: 668,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,701 : 312,138 = 312,138 : x
  2. Step 2: Convert to fraction form
    145,701/312,138 = 312,138/x
  3. Step 3: Cross multiply
    145,701x = 312,138 × 312,138
  4. Step 4: Simplify right side
    145,701x = 97,430,131,044
  5. Step 5: Solve for x
    x = 97,430,131,044/145,701
  6. Step 6: Final answer
    x = 668,699.12

Related Problems

Find third proportional to 72,850.50 and 156,069
Half scale
Find third proportional to 291,402 and 624,276
Double scale
Find third proportional to 145,703 and 312,142
Similar ratio
Find third proportional to 218,551.50 and 468,207
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.