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Finding the Third Proportional to 426,556 and 921,516

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Solution

The third proportional to 426,556 and 921,516 is: 1,990,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,556 : 921,516 = 921,516 : x
  2. Step 2: Convert to fraction form
    426,556/921,516 = 921,516/x
  3. Step 3: Cross multiply
    426,556x = 921,516 × 921,516
  4. Step 4: Simplify right side
    426,556x = 849,191,738,256
  5. Step 5: Solve for x
    x = 849,191,738,256/426,556
  6. Step 6: Final answer
    x = 1,990,809.50

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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.