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Finding the Third Proportional to 249,968 and 402,530

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Solution

The third proportional to 249,968 and 402,530 is: 648,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,968 : 402,530 = 402,530 : x
  2. Step 2: Convert to fraction form
    249,968/402,530 = 402,530/x
  3. Step 3: Cross multiply
    249,968x = 402,530 × 402,530
  4. Step 4: Simplify right side
    249,968x = 162,030,400,900
  5. Step 5: Solve for x
    x = 162,030,400,900/249,968
  6. Step 6: Final answer
    x = 648,204.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.