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Finding the Third Proportional to 822,184,242 and 1,210,566,555

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Solution

The third proportional to 822,184,242 and 1,210,566,555 is: 1,782,412,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,184,242 : 1,210,566,555 = 1,210,566,555 : x
  2. Step 2: Convert to fraction form
    822,184,242/1,210,566,555 = 1,210,566,555/x
  3. Step 3: Cross multiply
    822,184,242x = 1,210,566,555 × 1,210,566,555
  4. Step 4: Simplify right side
    822,184,242x = 1,465,471,384,084,568,064
  5. Step 5: Solve for x
    x = 1,465,471,384,084,568,064/822,184,242
  6. Step 6: Final answer
    x = 1,782,412,395.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.