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Finding the Third Proportional to 145,120,032 and 315,748,128

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Solution

The third proportional to 145,120,032 and 315,748,128 is: 686,995,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,120,032 : 315,748,128 = 315,748,128 : x
  2. Step 2: Convert to fraction form
    145,120,032/315,748,128 = 315,748,128/x
  3. Step 3: Cross multiply
    145,120,032x = 315,748,128 × 315,748,128
  4. Step 4: Simplify right side
    145,120,032x = 99,696,880,335,504,384
  5. Step 5: Solve for x
    x = 99,696,880,335,504,384/145,120,032
  6. Step 6: Final answer
    x = 686,995,991.95

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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.