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Finding the Third Proportional to 70,430 and 154,207

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Solution

The third proportional to 70,430 and 154,207 is: 337,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,430 : 154,207 = 154,207 : x
  2. Step 2: Convert to fraction form
    70,430/154,207 = 154,207/x
  3. Step 3: Cross multiply
    70,430x = 154,207 × 154,207
  4. Step 4: Simplify right side
    70,430x = 23,779,798,849
  5. Step 5: Solve for x
    x = 23,779,798,849/70,430
  6. Step 6: Final answer
    x = 337,637.35

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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.