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Finding the Third Proportional to 813,931 and 1,274,842

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Solution

The third proportional to 813,931 and 1,274,842 is: 1,996,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,931 : 1,274,842 = 1,274,842 : x
  2. Step 2: Convert to fraction form
    813,931/1,274,842 = 1,274,842/x
  3. Step 3: Cross multiply
    813,931x = 1,274,842 × 1,274,842
  4. Step 4: Simplify right side
    813,931x = 1,625,222,124,964
  5. Step 5: Solve for x
    x = 1,625,222,124,964/813,931
  6. Step 6: Final answer
    x = 1,996,756.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.