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Finding the Third Proportional to 155,594 and 316,894

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Solution

The third proportional to 155,594 and 316,894 is: 645,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,594 : 316,894 = 316,894 : x
  2. Step 2: Convert to fraction form
    155,594/316,894 = 316,894/x
  3. Step 3: Cross multiply
    155,594x = 316,894 × 316,894
  4. Step 4: Simplify right side
    155,594x = 100,421,807,236
  5. Step 5: Solve for x
    x = 100,421,807,236/155,594
  6. Step 6: Final answer
    x = 645,409.25

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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.