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Finding the Third Proportional to 81,434,484 and 168,537,348

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Solution

The third proportional to 81,434,484 and 168,537,348 is: 348,806,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,434,484 : 168,537,348 = 168,537,348 : x
  2. Step 2: Convert to fraction form
    81,434,484/168,537,348 = 168,537,348/x
  3. Step 3: Cross multiply
    81,434,484x = 168,537,348 × 168,537,348
  4. Step 4: Simplify right side
    81,434,484x = 28,404,837,670,873,104
  5. Step 5: Solve for x
    x = 28,404,837,670,873,104/81,434,484
  6. Step 6: Final answer
    x = 348,806,012.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.