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Finding the Third Proportional to 478,938 and 697,346

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Solution

The third proportional to 478,938 and 697,346 is: 1,015,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,938 : 697,346 = 697,346 : x
  2. Step 2: Convert to fraction form
    478,938/697,346 = 697,346/x
  3. Step 3: Cross multiply
    478,938x = 697,346 × 697,346
  4. Step 4: Simplify right side
    478,938x = 486,291,443,716
  5. Step 5: Solve for x
    x = 486,291,443,716/478,938
  6. Step 6: Final answer
    x = 1,015,353.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.