Home / 257,214-564,228

Finding the Third Proportional to 257,214 and 564,228

Calculator

Solution

The third proportional to 257,214 and 564,228 is: 1,237,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,214 : 564,228 = 564,228 : x
  2. Step 2: Convert to fraction form
    257,214/564,228 = 564,228/x
  3. Step 3: Cross multiply
    257,214x = 564,228 × 564,228
  4. Step 4: Simplify right side
    257,214x = 318,353,235,984
  5. Step 5: Solve for x
    x = 318,353,235,984/257,214
  6. Step 6: Final answer
    x = 1,237,697.93

Related Problems

Find third proportional to 128,607 and 282,114
Half scale
Find third proportional to 514,428 and 1,128,456
Double scale
Find third proportional to 257,216 and 564,232
Similar ratio
Find third proportional to 385,821 and 846,342
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.