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Finding the Third Proportional to 630,048 and 1,370,688

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Solution

The third proportional to 630,048 and 1,370,688 is: 2,981,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,048 : 1,370,688 = 1,370,688 : x
  2. Step 2: Convert to fraction form
    630,048/1,370,688 = 1,370,688/x
  3. Step 3: Cross multiply
    630,048x = 1,370,688 × 1,370,688
  4. Step 4: Simplify right side
    630,048x = 1,878,785,593,344
  5. Step 5: Solve for x
    x = 1,878,785,593,344/630,048
  6. Step 6: Final answer
    x = 2,981,972.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.