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Finding the Third Proportional to 828,780 and 1,169,820

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Solution

The third proportional to 828,780 and 1,169,820 is: 1,651,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,780 : 1,169,820 = 1,169,820 : x
  2. Step 2: Convert to fraction form
    828,780/1,169,820 = 1,169,820/x
  3. Step 3: Cross multiply
    828,780x = 1,169,820 × 1,169,820
  4. Step 4: Simplify right side
    828,780x = 1,368,478,832,400
  5. Step 5: Solve for x
    x = 1,368,478,832,400/828,780
  6. Step 6: Final answer
    x = 1,651,196.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.