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Finding the Third Proportional to 249,524 and 405,430

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Solution

The third proportional to 249,524 and 405,430 is: 658,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,524 : 405,430 = 405,430 : x
  2. Step 2: Convert to fraction form
    249,524/405,430 = 405,430/x
  3. Step 3: Cross multiply
    249,524x = 405,430 × 405,430
  4. Step 4: Simplify right side
    249,524x = 164,373,484,900
  5. Step 5: Solve for x
    x = 164,373,484,900/249,524
  6. Step 6: Final answer
    x = 658,748.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.