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Finding the Third Proportional to 821,780 and 1,153,854

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Solution

The third proportional to 821,780 and 1,153,854 is: 1,620,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,780 : 1,153,854 = 1,153,854 : x
  2. Step 2: Convert to fraction form
    821,780/1,153,854 = 1,153,854/x
  3. Step 3: Cross multiply
    821,780x = 1,153,854 × 1,153,854
  4. Step 4: Simplify right side
    821,780x = 1,331,379,053,316
  5. Step 5: Solve for x
    x = 1,331,379,053,316/821,780
  6. Step 6: Final answer
    x = 1,620,116.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.