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Finding the Third Proportional to 415,368 and 645,084

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Solution

The third proportional to 415,368 and 645,084 is: 1,001,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,368 : 645,084 = 645,084 : x
  2. Step 2: Convert to fraction form
    415,368/645,084 = 645,084/x
  3. Step 3: Cross multiply
    415,368x = 645,084 × 645,084
  4. Step 4: Simplify right side
    415,368x = 416,133,367,056
  5. Step 5: Solve for x
    x = 416,133,367,056/415,368
  6. Step 6: Final answer
    x = 1,001,842.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.