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Finding the Third Proportional to 421,916,526 and 908,635,927.50

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Solution

The third proportional to 421,916,526 and 908,635,927.50 is: 1,956,830,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,916,526 : 908,635,927.50 = 908,635,927.50 : x
  2. Step 2: Convert to fraction form
    421,916,526/908,635,927.50 = 908,635,927.50/x
  3. Step 3: Cross multiply
    421,916,526x = 908,635,927.50 × 908,635,927.50
  4. Step 4: Simplify right side
    421,916,526x = 825,619,248,743,785,216
  5. Step 5: Solve for x
    x = 825,619,248,743,785,216/421,916,526
  6. Step 6: Final answer
    x = 1,956,830,789.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.