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Finding the Third Proportional to 268,817,402 and 422,393,700

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Solution

The third proportional to 268,817,402 and 422,393,700 is: 663,708,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,817,402 : 422,393,700 = 422,393,700 : x
  2. Step 2: Convert to fraction form
    268,817,402/422,393,700 = 422,393,700/x
  3. Step 3: Cross multiply
    268,817,402x = 422,393,700 × 422,393,700
  4. Step 4: Simplify right side
    268,817,402x = 178,416,437,799,689,984
  5. Step 5: Solve for x
    x = 178,416,437,799,689,984/268,817,402
  6. Step 6: Final answer
    x = 663,708,660.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.