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Finding the Third Proportional to 607,680 and 1,319,040

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Solution

The third proportional to 607,680 and 1,319,040 is: 2,863,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,680 : 1,319,040 = 1,319,040 : x
  2. Step 2: Convert to fraction form
    607,680/1,319,040 = 1,319,040/x
  3. Step 3: Cross multiply
    607,680x = 1,319,040 × 1,319,040
  4. Step 4: Simplify right side
    607,680x = 1,739,866,521,600
  5. Step 5: Solve for x
    x = 1,739,866,521,600/607,680
  6. Step 6: Final answer
    x = 2,863,129.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.