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Finding the Third Proportional to 418,459.50 and 537,293.25

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Solution

The third proportional to 418,459.50 and 537,293.25 is: 689,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,459.50 : 537,293.25 = 537,293.25 : x
  2. Step 2: Convert to fraction form
    418,459.50/537,293.25 = 537,293.25/x
  3. Step 3: Cross multiply
    418,459.50x = 537,293.25 × 537,293.25
  4. Step 4: Simplify right side
    418,459.50x = 288,684,036,495.56
  5. Step 5: Solve for x
    x = 288,684,036,495.56/418,459.50
  6. Step 6: Final answer
    x = 689,873.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.