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Finding the Third Proportional to 570,720 and 1,249,728

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Solution

The third proportional to 570,720 and 1,249,728 is: 2,736,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,720 : 1,249,728 = 1,249,728 : x
  2. Step 2: Convert to fraction form
    570,720/1,249,728 = 1,249,728/x
  3. Step 3: Cross multiply
    570,720x = 1,249,728 × 1,249,728
  4. Step 4: Simplify right side
    570,720x = 1,561,820,073,984
  5. Step 5: Solve for x
    x = 1,561,820,073,984/570,720
  6. Step 6: Final answer
    x = 2,736,578.49

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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.