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Finding the Third Proportional to 314,930,320 and 687,167,168

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Solution

The third proportional to 314,930,320 and 687,167,168 is: 1,499,375,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,320 : 687,167,168 = 687,167,168 : x
  2. Step 2: Convert to fraction form
    314,930,320/687,167,168 = 687,167,168/x
  3. Step 3: Cross multiply
    314,930,320x = 687,167,168 × 687,167,168
  4. Step 4: Simplify right side
    314,930,320x = 472,198,716,777,140,224
  5. Step 5: Solve for x
    x = 472,198,716,777,140,224/314,930,320
  6. Step 6: Final answer
    x = 1,499,375,216.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.