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Finding the Third Proportional to 821,151,924 and 1,700,509,746

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Solution

The third proportional to 821,151,924 and 1,700,509,746 is: 3,521,557,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,151,924 : 1,700,509,746 = 1,700,509,746 : x
  2. Step 2: Convert to fraction form
    821,151,924/1,700,509,746 = 1,700,509,746/x
  3. Step 3: Cross multiply
    821,151,924x = 1,700,509,746 × 1,700,509,746
  4. Step 4: Simplify right side
    821,151,924x = 2,891,733,396,240,984,576
  5. Step 5: Solve for x
    x = 2,891,733,396,240,984,576/821,151,924
  6. Step 6: Final answer
    x = 3,521,557,109.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.