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Finding the Third Proportional to 290,083,692 and 449,830,926

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Solution

The third proportional to 290,083,692 and 449,830,926 is: 697,549,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,083,692 : 449,830,926 = 449,830,926 : x
  2. Step 2: Convert to fraction form
    290,083,692/449,830,926 = 449,830,926/x
  3. Step 3: Cross multiply
    290,083,692x = 449,830,926 × 449,830,926
  4. Step 4: Simplify right side
    290,083,692x = 202,347,861,986,017,472
  5. Step 5: Solve for x
    x = 202,347,861,986,017,472/290,083,692
  6. Step 6: Final answer
    x = 697,549,940.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.