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Finding the Third Proportional to 70,195,369.50 and 109,542,547.13

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Solution

The third proportional to 70,195,369.50 and 109,542,547.13 is: 170,945,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,195,369.50 : 109,542,547.13 = 109,542,547.13 : x
  2. Step 2: Convert to fraction form
    70,195,369.50/109,542,547.13 = 109,542,547.13/x
  3. Step 3: Cross multiply
    70,195,369.50x = 109,542,547.13 × 109,542,547.13
  4. Step 4: Simplify right side
    70,195,369.50x = 11,999,569,630,632,846
  5. Step 5: Solve for x
    x = 11,999,569,630,632,846/70,195,369.50
  6. Step 6: Final answer
    x = 170,945,316.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.