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Finding the Third Proportional to 481,343,454 and 744,095,577

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Solution

The third proportional to 481,343,454 and 744,095,577 is: 1,150,276,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,343,454 : 744,095,577 = 744,095,577 : x
  2. Step 2: Convert to fraction form
    481,343,454/744,095,577 = 744,095,577/x
  3. Step 3: Cross multiply
    481,343,454x = 744,095,577 × 744,095,577
  4. Step 4: Simplify right side
    481,343,454x = 553,678,227,710,962,944
  5. Step 5: Solve for x
    x = 553,678,227,710,962,944/481,343,454
  6. Step 6: Final answer
    x = 1,150,276,841.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.