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Finding the Third Proportional to 391,147,757 and 828,929,461

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Solution

The third proportional to 391,147,757 and 828,929,461 is: 1,756,686,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,147,757 : 828,929,461 = 828,929,461 : x
  2. Step 2: Convert to fraction form
    391,147,757/828,929,461 = 828,929,461/x
  3. Step 3: Cross multiply
    391,147,757x = 828,929,461 × 828,929,461
  4. Step 4: Simplify right side
    391,147,757x = 687,124,051,313,750,528
  5. Step 5: Solve for x
    x = 687,124,051,313,750,528/391,147,757
  6. Step 6: Final answer
    x = 1,756,686,671.51

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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.