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Finding the Third Proportional to 423,370 and 583,215

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Solution

The third proportional to 423,370 and 583,215 is: 803,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,370 : 583,215 = 583,215 : x
  2. Step 2: Convert to fraction form
    423,370/583,215 = 583,215/x
  3. Step 3: Cross multiply
    423,370x = 583,215 × 583,215
  4. Step 4: Simplify right side
    423,370x = 340,139,736,225
  5. Step 5: Solve for x
    x = 340,139,736,225/423,370
  6. Step 6: Final answer
    x = 803,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.