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Finding the Third Proportional to 90,631,372.50 and 138,547,827

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Solution

The third proportional to 90,631,372.50 and 138,547,827 is: 211,797,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,631,372.50 : 138,547,827 = 138,547,827 : x
  2. Step 2: Convert to fraction form
    90,631,372.50/138,547,827 = 138,547,827/x
  3. Step 3: Cross multiply
    90,631,372.50x = 138,547,827 × 138,547,827
  4. Step 4: Simplify right side
    90,631,372.50x = 19,195,500,366,421,928
  5. Step 5: Solve for x
    x = 19,195,500,366,421,928/90,631,372.50
  6. Step 6: Final answer
    x = 211,797,524.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.