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Finding the Third Proportional to 435,368 and 638,148

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Solution

The third proportional to 435,368 and 638,148 is: 935,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,368 : 638,148 = 638,148 : x
  2. Step 2: Convert to fraction form
    435,368/638,148 = 638,148/x
  3. Step 3: Cross multiply
    435,368x = 638,148 × 638,148
  4. Step 4: Simplify right side
    435,368x = 407,232,869,904
  5. Step 5: Solve for x
    x = 407,232,869,904/435,368
  6. Step 6: Final answer
    x = 935,376.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.