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Finding the Third Proportional to 451,140.89 and 634,746.38

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Solution

The third proportional to 451,140.89 and 634,746.38 is: 893,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,140.89 : 634,746.38 = 634,746.38 : x
  2. Step 2: Convert to fraction form
    451,140.89/634,746.38 = 634,746.38/x
  3. Step 3: Cross multiply
    451,140.89x = 634,746.38 × 634,746.38
  4. Step 4: Simplify right side
    451,140.89x = 402,902,960,575.64
  5. Step 5: Solve for x
    x = 402,902,960,575.64/451,140.89
  6. Step 6: Final answer
    x = 893,075.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.