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Finding the Third Proportional to 379,415 and 507,506

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Solution

The third proportional to 379,415 and 507,506 is: 678,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,415 : 507,506 = 507,506 : x
  2. Step 2: Convert to fraction form
    379,415/507,506 = 507,506/x
  3. Step 3: Cross multiply
    379,415x = 507,506 × 507,506
  4. Step 4: Simplify right side
    379,415x = 257,562,340,036
  5. Step 5: Solve for x
    x = 257,562,340,036/379,415
  6. Step 6: Final answer
    x = 678,840.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.