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Finding the Third Proportional to 345,580 and 540,943

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Solution

The third proportional to 345,580 and 540,943 is: 846,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,580 : 540,943 = 540,943 : x
  2. Step 2: Convert to fraction form
    345,580/540,943 = 540,943/x
  3. Step 3: Cross multiply
    345,580x = 540,943 × 540,943
  4. Step 4: Simplify right side
    345,580x = 292,619,329,249
  5. Step 5: Solve for x
    x = 292,619,329,249/345,580
  6. Step 6: Final answer
    x = 846,748.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.