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Finding the Third Proportional to 163,111 and 358,297

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Solution

The third proportional to 163,111 and 358,297 is: 787,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,111 : 358,297 = 358,297 : x
  2. Step 2: Convert to fraction form
    163,111/358,297 = 358,297/x
  3. Step 3: Cross multiply
    163,111x = 358,297 × 358,297
  4. Step 4: Simplify right side
    163,111x = 128,376,740,209
  5. Step 5: Solve for x
    x = 128,376,740,209/163,111
  6. Step 6: Final answer
    x = 787,051.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.