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Finding the Third Proportional to 188,868,790.53 and 406,435,395.07

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Solution

The third proportional to 188,868,790.53 and 406,435,395.07 is: 874,626,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,868,790.53 : 406,435,395.07 = 406,435,395.07 : x
  2. Step 2: Convert to fraction form
    188,868,790.53/406,435,395.07 = 406,435,395.07/x
  3. Step 3: Cross multiply
    188,868,790.53x = 406,435,395.07 × 406,435,395.07
  4. Step 4: Simplify right side
    188,868,790.53x = 165,189,730,363,569,120
  5. Step 5: Solve for x
    x = 165,189,730,363,569,120/188,868,790.53
  6. Step 6: Final answer
    x = 874,626,929.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.