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Finding the Third Proportional to 90,433,317 and 196,178,779.50

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Solution

The third proportional to 90,433,317 and 196,178,779.50 is: 425,574,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433,317 : 196,178,779.50 = 196,178,779.50 : x
  2. Step 2: Convert to fraction form
    90,433,317/196,178,779.50 = 196,178,779.50/x
  3. Step 3: Cross multiply
    90,433,317x = 196,178,779.50 × 196,178,779.50
  4. Step 4: Simplify right side
    90,433,317x = 38,486,113,526,109,624
  5. Step 5: Solve for x
    x = 38,486,113,526,109,624/90,433,317
  6. Step 6: Final answer
    x = 425,574,498.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.