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Finding the Third Proportional to 122,829.38 and 260,420.63

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Solution

The third proportional to 122,829.38 and 260,420.63 is: 552,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,829.38 : 260,420.63 = 260,420.63 : x
  2. Step 2: Convert to fraction form
    122,829.38/260,420.63 = 260,420.63/x
  3. Step 3: Cross multiply
    122,829.38x = 260,420.63 × 260,420.63
  4. Step 4: Simplify right side
    122,829.38x = 67,818,901,925.39
  5. Step 5: Solve for x
    x = 67,818,901,925.39/122,829.38
  6. Step 6: Final answer
    x = 552,139.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.