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Finding the Third Proportional to 388,495 and 915,793

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Solution

The third proportional to 388,495 and 915,793 is: 2,158,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,495 : 915,793 = 915,793 : x
  2. Step 2: Convert to fraction form
    388,495/915,793 = 915,793/x
  3. Step 3: Cross multiply
    388,495x = 915,793 × 915,793
  4. Step 4: Simplify right side
    388,495x = 838,676,818,849
  5. Step 5: Solve for x
    x = 838,676,818,849/388,495
  6. Step 6: Final answer
    x = 2,158,784.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.