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Finding the Third Proportional to 487,491 and 753,363

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Solution

The third proportional to 487,491 and 753,363 is: 1,164,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,491 : 753,363 = 753,363 : x
  2. Step 2: Convert to fraction form
    487,491/753,363 = 753,363/x
  3. Step 3: Cross multiply
    487,491x = 753,363 × 753,363
  4. Step 4: Simplify right side
    487,491x = 567,555,809,769
  5. Step 5: Solve for x
    x = 567,555,809,769/487,491
  6. Step 6: Final answer
    x = 1,164,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.