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Finding the Third Proportional to 691,776 and 1,490,268

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Solution

The third proportional to 691,776 and 1,490,268 is: 3,210,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,776 : 1,490,268 = 1,490,268 : x
  2. Step 2: Convert to fraction form
    691,776/1,490,268 = 1,490,268/x
  3. Step 3: Cross multiply
    691,776x = 1,490,268 × 1,490,268
  4. Step 4: Simplify right side
    691,776x = 2,220,898,711,824
  5. Step 5: Solve for x
    x = 2,220,898,711,824/691,776
  6. Step 6: Final answer
    x = 3,210,430.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.