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Finding the Third Proportional to 487,360 and 757,536

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Solution

The third proportional to 487,360 and 757,536 is: 1,177,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,360 : 757,536 = 757,536 : x
  2. Step 2: Convert to fraction form
    487,360/757,536 = 757,536/x
  3. Step 3: Cross multiply
    487,360x = 757,536 × 757,536
  4. Step 4: Simplify right side
    487,360x = 573,860,791,296
  5. Step 5: Solve for x
    x = 573,860,791,296/487,360
  6. Step 6: Final answer
    x = 1,177,488.49

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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.