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Finding the Third Proportional to 90,547 and 118,311

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Solution

The third proportional to 90,547 and 118,311 is: 154,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,547 : 118,311 = 118,311 : x
  2. Step 2: Convert to fraction form
    90,547/118,311 = 118,311/x
  3. Step 3: Cross multiply
    90,547x = 118,311 × 118,311
  4. Step 4: Simplify right side
    90,547x = 13,997,492,721
  5. Step 5: Solve for x
    x = 13,997,492,721/90,547
  6. Step 6: Final answer
    x = 154,588.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.