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Finding the Third Proportional to 409,547 and 620,045

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Solution

The third proportional to 409,547 and 620,045 is: 938,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,547 : 620,045 = 620,045 : x
  2. Step 2: Convert to fraction form
    409,547/620,045 = 620,045/x
  3. Step 3: Cross multiply
    409,547x = 620,045 × 620,045
  4. Step 4: Simplify right side
    409,547x = 384,455,802,025
  5. Step 5: Solve for x
    x = 384,455,802,025/409,547
  6. Step 6: Final answer
    x = 938,734.26

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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.