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Finding the Third Proportional to 456,098 and 715,478

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Solution

The third proportional to 456,098 and 715,478 is: 1,122,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,098 : 715,478 = 715,478 : x
  2. Step 2: Convert to fraction form
    456,098/715,478 = 715,478/x
  3. Step 3: Cross multiply
    456,098x = 715,478 × 715,478
  4. Step 4: Simplify right side
    456,098x = 511,908,768,484
  5. Step 5: Solve for x
    x = 511,908,768,484/456,098
  6. Step 6: Final answer
    x = 1,122,365.74

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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.