Home / 257,322-564,490

Finding the Third Proportional to 257,322 and 564,490

Calculator

Solution

The third proportional to 257,322 and 564,490 is: 1,238,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,322 : 564,490 = 564,490 : x
  2. Step 2: Convert to fraction form
    257,322/564,490 = 564,490/x
  3. Step 3: Cross multiply
    257,322x = 564,490 × 564,490
  4. Step 4: Simplify right side
    257,322x = 318,648,960,100
  5. Step 5: Solve for x
    x = 318,648,960,100/257,322
  6. Step 6: Final answer
    x = 1,238,327.70

Related Problems

Find third proportional to 128,661 and 282,245
Half scale
Find third proportional to 514,644 and 1,128,980
Double scale
Find third proportional to 257,324 and 564,494
Similar ratio
Find third proportional to 385,983 and 846,735
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.