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Finding the Third Proportional to 497,031.50 and 775,078.50

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Solution

The third proportional to 497,031.50 and 775,078.50 is: 1,208,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,031.50 : 775,078.50 = 775,078.50 : x
  2. Step 2: Convert to fraction form
    497,031.50/775,078.50 = 775,078.50/x
  3. Step 3: Cross multiply
    497,031.50x = 775,078.50 × 775,078.50
  4. Step 4: Simplify right side
    497,031.50x = 600,746,681,162.25
  5. Step 5: Solve for x
    x = 600,746,681,162.25/497,031.50
  6. Step 6: Final answer
    x = 1,208,669.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.