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Finding the Third Proportional to 712,395,432 and 1,089,780,324

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Solution

The third proportional to 712,395,432 and 1,089,780,324 is: 1,667,081,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,395,432 : 1,089,780,324 = 1,089,780,324 : x
  2. Step 2: Convert to fraction form
    712,395,432/1,089,780,324 = 1,089,780,324/x
  3. Step 3: Cross multiply
    712,395,432x = 1,089,780,324 × 1,089,780,324
  4. Step 4: Simplify right side
    712,395,432x = 1,187,621,154,577,544,960
  5. Step 5: Solve for x
    x = 1,187,621,154,577,544,960/712,395,432
  6. Step 6: Final answer
    x = 1,667,081,372.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.