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Finding the Third Proportional to 405,319,782 and 821,918,060

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Solution

The third proportional to 405,319,782 and 821,918,060 is: 1,666,706,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,319,782 : 821,918,060 = 821,918,060 : x
  2. Step 2: Convert to fraction form
    405,319,782/821,918,060 = 821,918,060/x
  3. Step 3: Cross multiply
    405,319,782x = 821,918,060 × 821,918,060
  4. Step 4: Simplify right side
    405,319,782x = 675,549,297,354,163,584
  5. Step 5: Solve for x
    x = 675,549,297,354,163,584/405,319,782
  6. Step 6: Final answer
    x = 1,666,706,949.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.