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Finding the Third Proportional to 507,120,768 and 761,892,480

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Solution

The third proportional to 507,120,768 and 761,892,480 is: 1,144,658,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,120,768 : 761,892,480 = 761,892,480 : x
  2. Step 2: Convert to fraction form
    507,120,768/761,892,480 = 761,892,480/x
  3. Step 3: Cross multiply
    507,120,768x = 761,892,480 × 761,892,480
  4. Step 4: Simplify right side
    507,120,768x = 580,480,151,080,550,400
  5. Step 5: Solve for x
    x = 580,480,151,080,550,400/507,120,768
  6. Step 6: Final answer
    x = 1,144,658,605.42

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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.