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Finding the Third Proportional to 349,089 and 760,386

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Solution

The third proportional to 349,089 and 760,386 is: 1,656,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,089 : 760,386 = 760,386 : x
  2. Step 2: Convert to fraction form
    349,089/760,386 = 760,386/x
  3. Step 3: Cross multiply
    349,089x = 760,386 × 760,386
  4. Step 4: Simplify right side
    349,089x = 578,186,868,996
  5. Step 5: Solve for x
    x = 578,186,868,996/349,089
  6. Step 6: Final answer
    x = 1,656,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.