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Finding the Third Proportional to 640,478 and 1,386,148

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Solution

The third proportional to 640,478 and 1,386,148 is: 2,999,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,478 : 1,386,148 = 1,386,148 : x
  2. Step 2: Convert to fraction form
    640,478/1,386,148 = 1,386,148/x
  3. Step 3: Cross multiply
    640,478x = 1,386,148 × 1,386,148
  4. Step 4: Simplify right side
    640,478x = 1,921,406,277,904
  5. Step 5: Solve for x
    x = 1,921,406,277,904/640,478
  6. Step 6: Final answer
    x = 2,999,956.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.