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Finding the Third Proportional to 100,698,911 and 155,496,729

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Solution

The third proportional to 100,698,911 and 155,496,729 is: 240,114,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,911 : 155,496,729 = 155,496,729 : x
  2. Step 2: Convert to fraction form
    100,698,911/155,496,729 = 155,496,729/x
  3. Step 3: Cross multiply
    100,698,911x = 155,496,729 × 155,496,729
  4. Step 4: Simplify right side
    100,698,911x = 24,179,232,729,699,440
  5. Step 5: Solve for x
    x = 24,179,232,729,699,440/100,698,911
  6. Step 6: Final answer
    x = 240,114,143.14

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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.