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Finding the Third Proportional to 157,880 and 249,969

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Solution

The third proportional to 157,880 and 249,969 is: 395,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,880 : 249,969 = 249,969 : x
  2. Step 2: Convert to fraction form
    157,880/249,969 = 249,969/x
  3. Step 3: Cross multiply
    157,880x = 249,969 × 249,969
  4. Step 4: Simplify right side
    157,880x = 62,484,500,961
  5. Step 5: Solve for x
    x = 62,484,500,961/157,880
  6. Step 6: Final answer
    x = 395,772.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.