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Finding the Third Proportional to 58,547 and 138,159

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Solution

The third proportional to 58,547 and 138,159 is: 326,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,547 : 138,159 = 138,159 : x
  2. Step 2: Convert to fraction form
    58,547/138,159 = 138,159/x
  3. Step 3: Cross multiply
    58,547x = 138,159 × 138,159
  4. Step 4: Simplify right side
    58,547x = 19,087,909,281
  5. Step 5: Solve for x
    x = 19,087,909,281/58,547
  6. Step 6: Final answer
    x = 326,027.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.