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Finding the Third Proportional to 318,428 and 671,416

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Solution

The third proportional to 318,428 and 671,416 is: 1,415,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,428 : 671,416 = 671,416 : x
  2. Step 2: Convert to fraction form
    318,428/671,416 = 671,416/x
  3. Step 3: Cross multiply
    318,428x = 671,416 × 671,416
  4. Step 4: Simplify right side
    318,428x = 450,799,445,056
  5. Step 5: Solve for x
    x = 450,799,445,056/318,428
  6. Step 6: Final answer
    x = 1,415,702.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.