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Finding the Third Proportional to 612,724 and 897,726

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Solution

The third proportional to 612,724 and 897,726 is: 1,315,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,724 : 897,726 = 897,726 : x
  2. Step 2: Convert to fraction form
    612,724/897,726 = 897,726/x
  3. Step 3: Cross multiply
    612,724x = 897,726 × 897,726
  4. Step 4: Simplify right side
    612,724x = 805,911,971,076
  5. Step 5: Solve for x
    x = 805,911,971,076/612,724
  6. Step 6: Final answer
    x = 1,315,293.62

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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.