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Finding the Third Proportional to 856,448 and 1,860,480

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Solution

The third proportional to 856,448 and 1,860,480 is: 4,041,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,448 : 1,860,480 = 1,860,480 : x
  2. Step 2: Convert to fraction form
    856,448/1,860,480 = 1,860,480/x
  3. Step 3: Cross multiply
    856,448x = 1,860,480 × 1,860,480
  4. Step 4: Simplify right side
    856,448x = 3,461,385,830,400
  5. Step 5: Solve for x
    x = 3,461,385,830,400/856,448
  6. Step 6: Final answer
    x = 4,041,559.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.