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Finding the Third Proportional to 475,308 and 691,560

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Solution

The third proportional to 475,308 and 691,560 is: 1,006,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,308 : 691,560 = 691,560 : x
  2. Step 2: Convert to fraction form
    475,308/691,560 = 691,560/x
  3. Step 3: Cross multiply
    475,308x = 691,560 × 691,560
  4. Step 4: Simplify right side
    475,308x = 478,255,233,600
  5. Step 5: Solve for x
    x = 478,255,233,600/475,308
  6. Step 6: Final answer
    x = 1,006,200.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.