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Finding the Third Proportional to 642,879,612 and 1,395,354,168

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Solution

The third proportional to 642,879,612 and 1,395,354,168 is: 3,028,581,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,879,612 : 1,395,354,168 = 1,395,354,168 : x
  2. Step 2: Convert to fraction form
    642,879,612/1,395,354,168 = 1,395,354,168/x
  3. Step 3: Cross multiply
    642,879,612x = 1,395,354,168 × 1,395,354,168
  4. Step 4: Simplify right side
    642,879,612x = 1,947,013,254,154,972,160
  5. Step 5: Solve for x
    x = 1,947,013,254,154,972,160/642,879,612
  6. Step 6: Final answer
    x = 3,028,581,429.26

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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.