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Finding the Third Proportional to 405,319,759.50 and 821,918,017.50

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Solution

The third proportional to 405,319,759.50 and 821,918,017.50 is: 1,666,706,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,319,759.50 : 821,918,017.50 = 821,918,017.50 : x
  2. Step 2: Convert to fraction form
    405,319,759.50/821,918,017.50 = 821,918,017.50/x
  3. Step 3: Cross multiply
    405,319,759.50x = 821,918,017.50 × 821,918,017.50
  4. Step 4: Simplify right side
    405,319,759.50x = 675,549,227,491,130,368
  5. Step 5: Solve for x
    x = 675,549,227,491,130,368/405,319,759.50
  6. Step 6: Final answer
    x = 1,666,706,869.47

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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.