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Finding the Third Proportional to 487,540 and 778,536

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Solution

The third proportional to 487,540 and 778,536 is: 1,243,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,540 : 778,536 = 778,536 : x
  2. Step 2: Convert to fraction form
    487,540/778,536 = 778,536/x
  3. Step 3: Cross multiply
    487,540x = 778,536 × 778,536
  4. Step 4: Simplify right side
    487,540x = 606,118,303,296
  5. Step 5: Solve for x
    x = 606,118,303,296/487,540
  6. Step 6: Final answer
    x = 1,243,217.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.