Home / 506,916-784,642

Finding the Third Proportional to 506,916 and 784,642

Calculator

Solution

The third proportional to 506,916 and 784,642 is: 1,214,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,916 : 784,642 = 784,642 : x
  2. Step 2: Convert to fraction form
    506,916/784,642 = 784,642/x
  3. Step 3: Cross multiply
    506,916x = 784,642 × 784,642
  4. Step 4: Simplify right side
    506,916x = 615,663,068,164
  5. Step 5: Solve for x
    x = 615,663,068,164/506,916
  6. Step 6: Final answer
    x = 1,214,526.80

Related Problems

Find third proportional to 253,458 and 392,321
Half scale
Find third proportional to 1,013,832 and 1,569,284
Double scale
Find third proportional to 506,918 and 784,645
Similar ratio
Find third proportional to 760,374 and 1,176,963
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.