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Finding the Third Proportional to 358,428 and 559,416

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Solution

The third proportional to 358,428 and 559,416 is: 873,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,428 : 559,416 = 559,416 : x
  2. Step 2: Convert to fraction form
    358,428/559,416 = 559,416/x
  3. Step 3: Cross multiply
    358,428x = 559,416 × 559,416
  4. Step 4: Simplify right side
    358,428x = 312,946,261,056
  5. Step 5: Solve for x
    x = 312,946,261,056/358,428
  6. Step 6: Final answer
    x = 873,107.74

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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.