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Finding the Third Proportional to 636,096 and 891,480

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Solution

The third proportional to 636,096 and 891,480 is: 1,249,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,096 : 891,480 = 891,480 : x
  2. Step 2: Convert to fraction form
    636,096/891,480 = 891,480/x
  3. Step 3: Cross multiply
    636,096x = 891,480 × 891,480
  4. Step 4: Simplify right side
    636,096x = 794,736,590,400
  5. Step 5: Solve for x
    x = 794,736,590,400/636,096
  6. Step 6: Final answer
    x = 1,249,397.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.