Home / 432,320-690,641

Finding the Third Proportional to 432,320 and 690,641

Calculator

Solution

The third proportional to 432,320 and 690,641 is: 1,103,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,320 : 690,641 = 690,641 : x
  2. Step 2: Convert to fraction form
    432,320/690,641 = 690,641/x
  3. Step 3: Cross multiply
    432,320x = 690,641 × 690,641
  4. Step 4: Simplify right side
    432,320x = 476,984,990,881
  5. Step 5: Solve for x
    x = 476,984,990,881/432,320
  6. Step 6: Final answer
    x = 1,103,314.65

Related Problems

Find third proportional to 216,160 and 345,320.50
Half scale
Find third proportional to 864,640 and 1,381,282
Double scale
Find third proportional to 432,322 and 690,644
Similar ratio
Find third proportional to 648,480 and 1,035,961.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.