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Finding the Third Proportional to 781,929 and 1,208,808

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Solution

The third proportional to 781,929 and 1,208,808 is: 1,868,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,929 : 1,208,808 = 1,208,808 : x
  2. Step 2: Convert to fraction form
    781,929/1,208,808 = 1,208,808/x
  3. Step 3: Cross multiply
    781,929x = 1,208,808 × 1,208,808
  4. Step 4: Simplify right side
    781,929x = 1,461,216,780,864
  5. Step 5: Solve for x
    x = 1,461,216,780,864/781,929
  6. Step 6: Final answer
    x = 1,868,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.