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Finding the Third Proportional to 410,258 and 620,854

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Solution

The third proportional to 410,258 and 620,854 is: 939,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,258 : 620,854 = 620,854 : x
  2. Step 2: Convert to fraction form
    410,258/620,854 = 620,854/x
  3. Step 3: Cross multiply
    410,258x = 620,854 × 620,854
  4. Step 4: Simplify right side
    410,258x = 385,459,689,316
  5. Step 5: Solve for x
    x = 385,459,689,316/410,258
  6. Step 6: Final answer
    x = 939,554.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.