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Finding the Third Proportional to 155,598 and 316,902

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Solution

The third proportional to 155,598 and 316,902 is: 645,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,598 : 316,902 = 316,902 : x
  2. Step 2: Convert to fraction form
    155,598/316,902 = 316,902/x
  3. Step 3: Cross multiply
    155,598x = 316,902 × 316,902
  4. Step 4: Simplify right side
    155,598x = 100,426,877,604
  5. Step 5: Solve for x
    x = 100,426,877,604/155,598
  6. Step 6: Final answer
    x = 645,425.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.