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Finding the Third Proportional to 243,148 and 390,672

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Solution

The third proportional to 243,148 and 390,672 is: 627,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,148 : 390,672 = 390,672 : x
  2. Step 2: Convert to fraction form
    243,148/390,672 = 390,672/x
  3. Step 3: Cross multiply
    243,148x = 390,672 × 390,672
  4. Step 4: Simplify right side
    243,148x = 152,624,611,584
  5. Step 5: Solve for x
    x = 152,624,611,584/243,148
  6. Step 6: Final answer
    x = 627,702.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.