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Finding the Third Proportional to 290,083,680 and 449,830,908

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Solution

The third proportional to 290,083,680 and 449,830,908 is: 697,549,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,083,680 : 449,830,908 = 449,830,908 : x
  2. Step 2: Convert to fraction form
    290,083,680/449,830,908 = 449,830,908/x
  3. Step 3: Cross multiply
    290,083,680x = 449,830,908 × 449,830,908
  4. Step 4: Simplify right side
    290,083,680x = 202,347,845,792,104,448
  5. Step 5: Solve for x
    x = 202,347,845,792,104,448/290,083,680
  6. Step 6: Final answer
    x = 697,549,913.16

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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.