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Finding the Third Proportional to 453,408 and 705,312

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Solution

The third proportional to 453,408 and 705,312 is: 1,097,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,408 : 705,312 = 705,312 : x
  2. Step 2: Convert to fraction form
    453,408/705,312 = 705,312/x
  3. Step 3: Cross multiply
    453,408x = 705,312 × 705,312
  4. Step 4: Simplify right side
    453,408x = 497,465,017,344
  5. Step 5: Solve for x
    x = 497,465,017,344/453,408
  6. Step 6: Final answer
    x = 1,097,168.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.