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Finding the Third Proportional to 188,838,721.75 and 406,375,257.50

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Solution

The third proportional to 188,838,721.75 and 406,375,257.50 is: 874,507,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,838,721.75 : 406,375,257.50 = 406,375,257.50 : x
  2. Step 2: Convert to fraction form
    188,838,721.75/406,375,257.50 = 406,375,257.50/x
  3. Step 3: Cross multiply
    188,838,721.75x = 406,375,257.50 × 406,375,257.50
  4. Step 4: Simplify right side
    188,838,721.75x = 165,140,849,908,191,296
  5. Step 5: Solve for x
    x = 165,140,849,908,191,296/188,838,721.75
  6. Step 6: Final answer
    x = 874,507,348.80

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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.