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Finding the Third Proportional to 687,649.50 and 749,911.50

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Solution

The third proportional to 687,649.50 and 749,911.50 is: 817,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,649.50 : 749,911.50 = 749,911.50 : x
  2. Step 2: Convert to fraction form
    687,649.50/749,911.50 = 749,911.50/x
  3. Step 3: Cross multiply
    687,649.50x = 749,911.50 × 749,911.50
  4. Step 4: Simplify right side
    687,649.50x = 562,367,257,832.25
  5. Step 5: Solve for x
    x = 562,367,257,832.25/687,649.50
  6. Step 6: Final answer
    x = 817,810.90

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.