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Finding the Third Proportional to 90,842,215.50 and 199,271,799

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Solution

The third proportional to 90,842,215.50 and 199,271,799 is: 437,123,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842,215.50 : 199,271,799 = 199,271,799 : x
  2. Step 2: Convert to fraction form
    90,842,215.50/199,271,799 = 199,271,799/x
  3. Step 3: Cross multiply
    90,842,215.50x = 199,271,799 × 199,271,799
  4. Step 4: Simplify right side
    90,842,215.50x = 39,709,249,876,696,400
  5. Step 5: Solve for x
    x = 39,709,249,876,696,400/90,842,215.50
  6. Step 6: Final answer
    x = 437,123,309.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.