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Finding the Third Proportional to 242,607 and 355,990.50

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Solution

The third proportional to 242,607 and 355,990.50 is: 522,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,607 : 355,990.50 = 355,990.50 : x
  2. Step 2: Convert to fraction form
    242,607/355,990.50 = 355,990.50/x
  3. Step 3: Cross multiply
    242,607x = 355,990.50 × 355,990.50
  4. Step 4: Simplify right side
    242,607x = 126,729,236,090.25
  5. Step 5: Solve for x
    x = 126,729,236,090.25/242,607
  6. Step 6: Final answer
    x = 522,364.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.