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Finding the Third Proportional to 145,120,016 and 315,748,096

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Solution

The third proportional to 145,120,016 and 315,748,096 is: 686,995,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,120,016 : 315,748,096 = 315,748,096 : x
  2. Step 2: Convert to fraction form
    145,120,016/315,748,096 = 315,748,096/x
  3. Step 3: Cross multiply
    145,120,016x = 315,748,096 × 315,748,096
  4. Step 4: Simplify right side
    145,120,016x = 99,696,860,127,625,216
  5. Step 5: Solve for x
    x = 99,696,860,127,625,216/145,120,016
  6. Step 6: Final answer
    x = 686,995,928.44

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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.