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Finding the Third Proportional to 202,509 and 314,374.50

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Solution

The third proportional to 202,509 and 314,374.50 is: 488,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509 : 314,374.50 = 314,374.50 : x
  2. Step 2: Convert to fraction form
    202,509/314,374.50 = 314,374.50/x
  3. Step 3: Cross multiply
    202,509x = 314,374.50 × 314,374.50
  4. Step 4: Simplify right side
    202,509x = 98,831,326,250.25
  5. Step 5: Solve for x
    x = 98,831,326,250.25/202,509
  6. Step 6: Final answer
    x = 488,034.24

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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.