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Finding the Third Proportional to 916,240 and 1,370,128

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Solution

The third proportional to 916,240 and 1,370,128 is: 2,048,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,240 : 1,370,128 = 1,370,128 : x
  2. Step 2: Convert to fraction form
    916,240/1,370,128 = 1,370,128/x
  3. Step 3: Cross multiply
    916,240x = 1,370,128 × 1,370,128
  4. Step 4: Simplify right side
    916,240x = 1,877,250,736,384
  5. Step 5: Solve for x
    x = 1,877,250,736,384/916,240
  6. Step 6: Final answer
    x = 2,048,863.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.