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Finding the Third Proportional to 145,231 and 314,587

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Solution

The third proportional to 145,231 and 314,587 is: 681,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,231 : 314,587 = 314,587 : x
  2. Step 2: Convert to fraction form
    145,231/314,587 = 314,587/x
  3. Step 3: Cross multiply
    145,231x = 314,587 × 314,587
  4. Step 4: Simplify right side
    145,231x = 98,964,980,569
  5. Step 5: Solve for x
    x = 98,964,980,569/145,231
  6. Step 6: Final answer
    x = 681,431.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.