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Finding the Third Proportional to 145,834 and 314,430

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Solution

The third proportional to 145,834 and 314,430 is: 677,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,834 : 314,430 = 314,430 : x
  2. Step 2: Convert to fraction form
    145,834/314,430 = 314,430/x
  3. Step 3: Cross multiply
    145,834x = 314,430 × 314,430
  4. Step 4: Simplify right side
    145,834x = 98,866,224,900
  5. Step 5: Solve for x
    x = 98,866,224,900/145,834
  6. Step 6: Final answer
    x = 677,936.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.