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Finding the Third Proportional to 487,560 and 753,444

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Solution

The third proportional to 487,560 and 753,444 is: 1,164,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,560 : 753,444 = 753,444 : x
  2. Step 2: Convert to fraction form
    487,560/753,444 = 753,444/x
  3. Step 3: Cross multiply
    487,560x = 753,444 × 753,444
  4. Step 4: Simplify right side
    487,560x = 567,677,861,136
  5. Step 5: Solve for x
    x = 567,677,861,136/487,560
  6. Step 6: Final answer
    x = 1,164,324.11

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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.