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Finding the Third Proportional to 358,429 and 559,418

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Solution

The third proportional to 358,429 and 559,418 is: 873,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,429 : 559,418 = 559,418 : x
  2. Step 2: Convert to fraction form
    358,429/559,418 = 559,418/x
  3. Step 3: Cross multiply
    358,429x = 559,418 × 559,418
  4. Step 4: Simplify right side
    358,429x = 312,948,498,724
  5. Step 5: Solve for x
    x = 312,948,498,724/358,429
  6. Step 6: Final answer
    x = 873,111.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.