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Finding the Third Proportional to 634,792 and 842,460

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Solution

The third proportional to 634,792 and 842,460 is: 1,118,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,792 : 842,460 = 842,460 : x
  2. Step 2: Convert to fraction form
    634,792/842,460 = 842,460/x
  3. Step 3: Cross multiply
    634,792x = 842,460 × 842,460
  4. Step 4: Simplify right side
    634,792x = 709,738,851,600
  5. Step 5: Solve for x
    x = 709,738,851,600/634,792
  6. Step 6: Final answer
    x = 1,118,065.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.