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Finding the Third Proportional to 38,191,948.50 and 78,148,806

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Solution

The third proportional to 38,191,948.50 and 78,148,806 is: 159,908,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191,948.50 : 78,148,806 = 78,148,806 : x
  2. Step 2: Convert to fraction form
    38,191,948.50/78,148,806 = 78,148,806/x
  3. Step 3: Cross multiply
    38,191,948.50x = 78,148,806 × 78,148,806
  4. Step 4: Simplify right side
    38,191,948.50x = 6,107,235,879,225,636
  5. Step 5: Solve for x
    x = 6,107,235,879,225,636/38,191,948.50
  6. Step 6: Final answer
    x = 159,908,989.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.