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Finding the Third Proportional to 288,875 and 695,876

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Solution

The third proportional to 288,875 and 695,876 is: 1,676,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,875 : 695,876 = 695,876 : x
  2. Step 2: Convert to fraction form
    288,875/695,876 = 695,876/x
  3. Step 3: Cross multiply
    288,875x = 695,876 × 695,876
  4. Step 4: Simplify right side
    288,875x = 484,243,407,376
  5. Step 5: Solve for x
    x = 484,243,407,376/288,875
  6. Step 6: Final answer
    x = 1,676,307.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.