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Finding the Third Proportional to 291,386 and 634,045

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Solution

The third proportional to 291,386 and 634,045 is: 1,379,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,386 : 634,045 = 634,045 : x
  2. Step 2: Convert to fraction form
    291,386/634,045 = 634,045/x
  3. Step 3: Cross multiply
    291,386x = 634,045 × 634,045
  4. Step 4: Simplify right side
    291,386x = 402,013,062,025
  5. Step 5: Solve for x
    x = 402,013,062,025/291,386
  6. Step 6: Final answer
    x = 1,379,658.12

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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.