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Finding the Third Proportional to 612,792 and 915,480

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Solution

The third proportional to 612,792 and 915,480 is: 1,367,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,792 : 915,480 = 915,480 : x
  2. Step 2: Convert to fraction form
    612,792/915,480 = 915,480/x
  3. Step 3: Cross multiply
    612,792x = 915,480 × 915,480
  4. Step 4: Simplify right side
    612,792x = 838,103,630,400
  5. Step 5: Solve for x
    x = 838,103,630,400/612,792
  6. Step 6: Final answer
    x = 1,367,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.