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Finding the Third Proportional to 472,690 and 709,381

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Solution

The third proportional to 472,690 and 709,381 is: 1,064,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,690 : 709,381 = 709,381 : x
  2. Step 2: Convert to fraction form
    472,690/709,381 = 709,381/x
  3. Step 3: Cross multiply
    472,690x = 709,381 × 709,381
  4. Step 4: Simplify right side
    472,690x = 503,221,403,161
  5. Step 5: Solve for x
    x = 503,221,403,161/472,690
  6. Step 6: Final answer
    x = 1,064,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.