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Finding the Third Proportional to 391,148,624 and 828,931,132

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Solution

The third proportional to 391,148,624 and 828,931,132 is: 1,756,689,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,148,624 : 828,931,132 = 828,931,132 : x
  2. Step 2: Convert to fraction form
    391,148,624/828,931,132 = 828,931,132/x
  3. Step 3: Cross multiply
    391,148,624x = 828,931,132 × 828,931,132
  4. Step 4: Simplify right side
    391,148,624x = 687,126,821,598,801,408
  5. Step 5: Solve for x
    x = 687,126,821,598,801,408/391,148,624
  6. Step 6: Final answer
    x = 1,756,689,860.17

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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.