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Finding the Third Proportional to 249,123 and 386,808

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Solution

The third proportional to 249,123 and 386,808 is: 600,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,123 : 386,808 = 386,808 : x
  2. Step 2: Convert to fraction form
    249,123/386,808 = 386,808/x
  3. Step 3: Cross multiply
    249,123x = 386,808 × 386,808
  4. Step 4: Simplify right side
    249,123x = 149,620,428,864
  5. Step 5: Solve for x
    x = 149,620,428,864/249,123
  6. Step 6: Final answer
    x = 600,588.58

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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.