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Finding the Third Proportional to 98,712,879,768 and 150,382,244,196

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Solution

The third proportional to 98,712,879,768 and 150,382,244,196 is: 229,096,946,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712,879,768 : 150,382,244,196 = 150,382,244,196 : x
  2. Step 2: Convert to fraction form
    98,712,879,768/150,382,244,196 = 150,382,244,196/x
  3. Step 3: Cross multiply
    98,712,879,768x = 150,382,244,196 × 150,382,244,196
  4. Step 4: Simplify right side
    98,712,879,768x = 22,614,819,369,425,376,903,168
  5. Step 5: Solve for x
    x = 22,614,819,369,425,376,903,168/98,712,879,768
  6. Step 6: Final answer
    x = 229,096,946,848.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.