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Finding the Third Proportional to 369,113 and 578,265

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Solution

The third proportional to 369,113 and 578,265 is: 905,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,113 : 578,265 = 578,265 : x
  2. Step 2: Convert to fraction form
    369,113/578,265 = 578,265/x
  3. Step 3: Cross multiply
    369,113x = 578,265 × 578,265
  4. Step 4: Simplify right side
    369,113x = 334,390,410,225
  5. Step 5: Solve for x
    x = 334,390,410,225/369,113
  6. Step 6: Final answer
    x = 905,929.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.