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Finding the Third Proportional to 748,428 and 1,640,370

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Solution

The third proportional to 748,428 and 1,640,370 is: 3,595,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,428 : 1,640,370 = 1,640,370 : x
  2. Step 2: Convert to fraction form
    748,428/1,640,370 = 1,640,370/x
  3. Step 3: Cross multiply
    748,428x = 1,640,370 × 1,640,370
  4. Step 4: Simplify right side
    748,428x = 2,690,813,736,900
  5. Step 5: Solve for x
    x = 2,690,813,736,900/748,428
  6. Step 6: Final answer
    x = 3,595,287.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.