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Finding the Third Proportional to 550,364 and 760,478

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Solution

The third proportional to 550,364 and 760,478 is: 1,050,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,364 : 760,478 = 760,478 : x
  2. Step 2: Convert to fraction form
    550,364/760,478 = 760,478/x
  3. Step 3: Cross multiply
    550,364x = 760,478 × 760,478
  4. Step 4: Simplify right side
    550,364x = 578,326,788,484
  5. Step 5: Solve for x
    x = 578,326,788,484/550,364
  6. Step 6: Final answer
    x = 1,050,807.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.