Home / 261,688-564,824

Finding the Third Proportional to 261,688 and 564,824

Calculator

Solution

The third proportional to 261,688 and 564,824 is: 1,219,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,688 : 564,824 = 564,824 : x
  2. Step 2: Convert to fraction form
    261,688/564,824 = 564,824/x
  3. Step 3: Cross multiply
    261,688x = 564,824 × 564,824
  4. Step 4: Simplify right side
    261,688x = 319,026,150,976
  5. Step 5: Solve for x
    x = 319,026,150,976/261,688
  6. Step 6: Final answer
    x = 1,219,108.83

Related Problems

Find third proportional to 130,844 and 282,412
Half scale
Find third proportional to 523,376 and 1,129,648
Double scale
Find third proportional to 261,690 and 564,828
Similar ratio
Find third proportional to 392,532 and 847,236
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.