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Finding the Third Proportional to 282,282,651 and 611,480,241.28

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Solution

The third proportional to 282,282,651 and 611,480,241.28 is: 1,324,587,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,282,651 : 611,480,241.28 = 611,480,241.28 : x
  2. Step 2: Convert to fraction form
    282,282,651/611,480,241.28 = 611,480,241.28/x
  3. Step 3: Cross multiply
    282,282,651x = 611,480,241.28 × 611,480,241.28
  4. Step 4: Simplify right side
    282,282,651x = 373,908,085,477,375,744
  5. Step 5: Solve for x
    x = 373,908,085,477,375,744/282,282,651
  6. Step 6: Final answer
    x = 1,324,587,551.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.