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Finding the Third Proportional to 55,153,242 and 121,247,316

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Solution

The third proportional to 55,153,242 and 121,247,316 is: 266,546,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,153,242 : 121,247,316 = 121,247,316 : x
  2. Step 2: Convert to fraction form
    55,153,242/121,247,316 = 121,247,316/x
  3. Step 3: Cross multiply
    55,153,242x = 121,247,316 × 121,247,316
  4. Step 4: Simplify right side
    55,153,242x = 14,700,911,637,203,856
  5. Step 5: Solve for x
    x = 14,700,911,637,203,856/55,153,242
  6. Step 6: Final answer
    x = 266,546,645.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.