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Finding the Third Proportional to 508,730.63 and 787,365.56

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Solution

The third proportional to 508,730.63 and 787,365.56 is: 1,218,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,730.63 : 787,365.56 = 787,365.56 : x
  2. Step 2: Convert to fraction form
    508,730.63/787,365.56 = 787,365.56/x
  3. Step 3: Cross multiply
    508,730.63x = 787,365.56 × 787,365.56
  4. Step 4: Simplify right side
    508,730.63x = 619,944,529,010.94
  5. Step 5: Solve for x
    x = 619,944,529,010.94/508,730.63
  6. Step 6: Final answer
    x = 1,218,610.59

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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.