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Finding the Third Proportional to 428,446,435.50 and 592,015,642.88

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Solution

The third proportional to 428,446,435.50 and 592,015,642.88 is: 818,031,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,446,435.50 : 592,015,642.88 = 592,015,642.88 : x
  2. Step 2: Convert to fraction form
    428,446,435.50/592,015,642.88 = 592,015,642.88/x
  3. Step 3: Cross multiply
    428,446,435.50x = 592,015,642.88 × 592,015,642.88
  4. Step 4: Simplify right side
    428,446,435.50x = 350,482,521,408,699,520
  5. Step 5: Solve for x
    x = 350,482,521,408,699,520/428,446,435.50
  6. Step 6: Final answer
    x = 818,031,129.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.