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Finding the Third Proportional to 145,255 and 314,637

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Solution

The third proportional to 145,255 and 314,637 is: 681,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,255 : 314,637 = 314,637 : x
  2. Step 2: Convert to fraction form
    145,255/314,637 = 314,637/x
  3. Step 3: Cross multiply
    145,255x = 314,637 × 314,637
  4. Step 4: Simplify right side
    145,255x = 98,996,441,769
  5. Step 5: Solve for x
    x = 98,996,441,769/145,255
  6. Step 6: Final answer
    x = 681,535.52

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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.