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Finding the Third Proportional to 421,138,704 and 908,865,312

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Solution

The third proportional to 421,138,704 and 908,865,312 is: 1,961,434,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138,704 : 908,865,312 = 908,865,312 : x
  2. Step 2: Convert to fraction form
    421,138,704/908,865,312 = 908,865,312/x
  3. Step 3: Cross multiply
    421,138,704x = 908,865,312 × 908,865,312
  4. Step 4: Simplify right side
    421,138,704x = 826,036,155,356,857,344
  5. Step 5: Solve for x
    x = 826,036,155,356,857,344/421,138,704
  6. Step 6: Final answer
    x = 1,961,434,908.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.