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Finding the Third Proportional to 478,536 and 697,032

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Solution

The third proportional to 478,536 and 697,032 is: 1,015,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,536 : 697,032 = 697,032 : x
  2. Step 2: Convert to fraction form
    478,536/697,032 = 697,032/x
  3. Step 3: Cross multiply
    478,536x = 697,032 × 697,032
  4. Step 4: Simplify right side
    478,536x = 485,853,609,024
  5. Step 5: Solve for x
    x = 485,853,609,024/478,536
  6. Step 6: Final answer
    x = 1,015,291.66

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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.