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Finding the Third Proportional to 160,455 and 249,456

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Solution

The third proportional to 160,455 and 249,456 is: 387,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,455 : 249,456 = 249,456 : x
  2. Step 2: Convert to fraction form
    160,455/249,456 = 249,456/x
  3. Step 3: Cross multiply
    160,455x = 249,456 × 249,456
  4. Step 4: Simplify right side
    160,455x = 62,228,295,936
  5. Step 5: Solve for x
    x = 62,228,295,936/160,455
  6. Step 6: Final answer
    x = 387,823.98

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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.