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Finding the Third Proportional to 391,148,622 and 828,931,128

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Solution

The third proportional to 391,148,622 and 828,931,128 is: 1,756,689,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,148,622 : 828,931,128 = 828,931,128 : x
  2. Step 2: Convert to fraction form
    391,148,622/828,931,128 = 828,931,128/x
  3. Step 3: Cross multiply
    391,148,622x = 828,931,128 × 828,931,128
  4. Step 4: Simplify right side
    391,148,622x = 687,126,814,967,352,320
  5. Step 5: Solve for x
    x = 687,126,814,967,352,320/391,148,622
  6. Step 6: Final answer
    x = 1,756,689,852.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.