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Finding the Third Proportional to 100,698,940 and 155,496,778

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Solution

The third proportional to 100,698,940 and 155,496,778 is: 240,114,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,940 : 155,496,778 = 155,496,778 : x
  2. Step 2: Convert to fraction form
    100,698,940/155,496,778 = 155,496,778/x
  3. Step 3: Cross multiply
    100,698,940x = 155,496,778 × 155,496,778
  4. Step 4: Simplify right side
    100,698,940x = 24,179,247,968,381,284
  5. Step 5: Solve for x
    x = 24,179,247,968,381,284/100,698,940
  6. Step 6: Final answer
    x = 240,114,225.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.