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Finding the Third Proportional to 117,380 and 249,304

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Solution

The third proportional to 117,380 and 249,304 is: 529,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,380 : 249,304 = 249,304 : x
  2. Step 2: Convert to fraction form
    117,380/249,304 = 249,304/x
  3. Step 3: Cross multiply
    117,380x = 249,304 × 249,304
  4. Step 4: Simplify right side
    117,380x = 62,152,484,416
  5. Step 5: Solve for x
    x = 62,152,484,416/117,380
  6. Step 6: Final answer
    x = 529,498.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.