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Finding the Third Proportional to 201,507 and 423,750

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Solution

The third proportional to 201,507 and 423,750 is: 891,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507 : 423,750 = 423,750 : x
  2. Step 2: Convert to fraction form
    201,507/423,750 = 423,750/x
  3. Step 3: Cross multiply
    201,507x = 423,750 × 423,750
  4. Step 4: Simplify right side
    201,507x = 179,564,062,500
  5. Step 5: Solve for x
    x = 179,564,062,500/201,507
  6. Step 6: Final answer
    x = 891,105.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.