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Finding the Third Proportional to 423,374 and 583,221

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Solution

The third proportional to 423,374 and 583,221 is: 803,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,374 : 583,221 = 583,221 : x
  2. Step 2: Convert to fraction form
    423,374/583,221 = 583,221/x
  3. Step 3: Cross multiply
    423,374x = 583,221 × 583,221
  4. Step 4: Simplify right side
    423,374x = 340,146,734,841
  5. Step 5: Solve for x
    x = 340,146,734,841/423,374
  6. Step 6: Final answer
    x = 803,419.05

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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.