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Finding the Third Proportional to 356,829 and 553,365

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Solution

The third proportional to 356,829 and 553,365 is: 858,150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,829 : 553,365 = 553,365 : x
  2. Step 2: Convert to fraction form
    356,829/553,365 = 553,365/x
  3. Step 3: Cross multiply
    356,829x = 553,365 × 553,365
  4. Step 4: Simplify right side
    356,829x = 306,212,823,225
  5. Step 5: Solve for x
    x = 306,212,823,225/356,829
  6. Step 6: Final answer
    x = 858,150.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.