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Finding the Third Proportional to 253,140,448 and 380,384,672

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Solution

The third proportional to 253,140,448 and 380,384,672 is: 571,589,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,140,448 : 380,384,672 = 380,384,672 : x
  2. Step 2: Convert to fraction form
    253,140,448/380,384,672 = 380,384,672/x
  3. Step 3: Cross multiply
    253,140,448x = 380,384,672 × 380,384,672
  4. Step 4: Simplify right side
    253,140,448x = 144,692,498,692,547,584
  5. Step 5: Solve for x
    x = 144,692,498,692,547,584/253,140,448
  6. Step 6: Final answer
    x = 571,589,802.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.