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Finding the Third Proportional to 39,456,382 and 86,455,484

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Solution

The third proportional to 39,456,382 and 86,455,484 is: 189,438,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456,382 : 86,455,484 = 86,455,484 : x
  2. Step 2: Convert to fraction form
    39,456,382/86,455,484 = 86,455,484/x
  3. Step 3: Cross multiply
    39,456,382x = 86,455,484 × 86,455,484
  4. Step 4: Simplify right side
    39,456,382x = 7,474,550,713,674,256
  5. Step 5: Solve for x
    x = 7,474,550,713,674,256/39,456,382
  6. Step 6: Final answer
    x = 189,438,319.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.