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Finding the Third Proportional to 820,897,364 and 1,272,164,896

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Solution

The third proportional to 820,897,364 and 1,272,164,896 is: 1,971,505,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,897,364 : 1,272,164,896 = 1,272,164,896 : x
  2. Step 2: Convert to fraction form
    820,897,364/1,272,164,896 = 1,272,164,896/x
  3. Step 3: Cross multiply
    820,897,364x = 1,272,164,896 × 1,272,164,896
  4. Step 4: Simplify right side
    820,897,364x = 1,618,403,522,614,690,816
  5. Step 5: Solve for x
    x = 1,618,403,522,614,690,816/820,897,364
  6. Step 6: Final answer
    x = 1,971,505,322.82

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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.