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Finding the Third Proportional to 115,046,430 and 155,485,771

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Solution

The third proportional to 115,046,430 and 155,485,771 is: 210,139,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046,430 : 155,485,771 = 155,485,771 : x
  2. Step 2: Convert to fraction form
    115,046,430/155,485,771 = 155,485,771/x
  3. Step 3: Cross multiply
    115,046,430x = 155,485,771 × 155,485,771
  4. Step 4: Simplify right side
    115,046,430x = 24,175,824,983,464,440
  5. Step 5: Solve for x
    x = 24,175,824,983,464,440/115,046,430
  6. Step 6: Final answer
    x = 210,139,723.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.