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Finding the Third Proportional to 675,840 and 912,270

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Solution

The third proportional to 675,840 and 912,270 is: 1,231,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,840 : 912,270 = 912,270 : x
  2. Step 2: Convert to fraction form
    675,840/912,270 = 912,270/x
  3. Step 3: Cross multiply
    675,840x = 912,270 × 912,270
  4. Step 4: Simplify right side
    675,840x = 832,236,552,900
  5. Step 5: Solve for x
    x = 832,236,552,900/675,840
  6. Step 6: Final answer
    x = 1,231,410.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.