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Finding the Third Proportional to 355,023 and 776,385

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Solution

The third proportional to 355,023 and 776,385 is: 1,697,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,023 : 776,385 = 776,385 : x
  2. Step 2: Convert to fraction form
    355,023/776,385 = 776,385/x
  3. Step 3: Cross multiply
    355,023x = 776,385 × 776,385
  4. Step 4: Simplify right side
    355,023x = 602,773,668,225
  5. Step 5: Solve for x
    x = 602,773,668,225/355,023
  6. Step 6: Final answer
    x = 1,697,843.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.