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Finding the Third Proportional to 55,465,448 and 123,676,720

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Solution

The third proportional to 55,465,448 and 123,676,720 is: 275,774,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,465,448 : 123,676,720 = 123,676,720 : x
  2. Step 2: Convert to fraction form
    55,465,448/123,676,720 = 123,676,720/x
  3. Step 3: Cross multiply
    55,465,448x = 123,676,720 × 123,676,720
  4. Step 4: Simplify right side
    55,465,448x = 15,295,931,069,958,400
  5. Step 5: Solve for x
    x = 15,295,931,069,958,400/55,465,448
  6. Step 6: Final answer
    x = 275,774,047.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.