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Finding the Third Proportional to 450,144 and 712,800

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Solution

The third proportional to 450,144 and 712,800 is: 1,128,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,144 : 712,800 = 712,800 : x
  2. Step 2: Convert to fraction form
    450,144/712,800 = 712,800/x
  3. Step 3: Cross multiply
    450,144x = 712,800 × 712,800
  4. Step 4: Simplify right side
    450,144x = 508,083,840,000
  5. Step 5: Solve for x
    x = 508,083,840,000/450,144
  6. Step 6: Final answer
    x = 1,128,714.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.