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Finding the Third Proportional to 450,240 and 712,944

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Solution

The third proportional to 450,240 and 712,944 is: 1,128,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,240 : 712,944 = 712,944 : x
  2. Step 2: Convert to fraction form
    450,240/712,944 = 712,944/x
  3. Step 3: Cross multiply
    450,240x = 712,944 × 712,944
  4. Step 4: Simplify right side
    450,240x = 508,289,147,136
  5. Step 5: Solve for x
    x = 508,289,147,136/450,240
  6. Step 6: Final answer
    x = 1,128,929.34

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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.