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Finding the Third Proportional to 507,120,788 and 761,892,510

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Solution

The third proportional to 507,120,788 and 761,892,510 is: 1,144,658,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120,788 : 761,892,510 = 761,892,510 : x
  2. Step 2: Convert to fraction form
    507,120,788/761,892,510 = 761,892,510/x
  3. Step 3: Cross multiply
    507,120,788x = 761,892,510 × 761,892,510
  4. Step 4: Simplify right side
    507,120,788x = 580,480,196,794,100,096
  5. Step 5: Solve for x
    x = 580,480,196,794,100,096/507,120,788
  6. Step 6: Final answer
    x = 1,144,658,650.42

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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.