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Finding the Third Proportional to 486,097 and 712,729

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Solution

The third proportional to 486,097 and 712,729 is: 1,045,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,097 : 712,729 = 712,729 : x
  2. Step 2: Convert to fraction form
    486,097/712,729 = 712,729/x
  3. Step 3: Cross multiply
    486,097x = 712,729 × 712,729
  4. Step 4: Simplify right side
    486,097x = 507,982,627,441
  5. Step 5: Solve for x
    x = 507,982,627,441/486,097
  6. Step 6: Final answer
    x = 1,045,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.