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Finding the Third Proportional to 938,618 and 1,407,957

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Solution

The third proportional to 938,618 and 1,407,957 is: 2,111,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,618 : 1,407,957 = 1,407,957 : x
  2. Step 2: Convert to fraction form
    938,618/1,407,957 = 1,407,957/x
  3. Step 3: Cross multiply
    938,618x = 1,407,957 × 1,407,957
  4. Step 4: Simplify right side
    938,618x = 1,982,342,913,849
  5. Step 5: Solve for x
    x = 1,982,342,913,849/938,618
  6. Step 6: Final answer
    x = 2,111,980.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.