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Finding the Third Proportional to 415,779.75 and 645,094.13

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Solution

The third proportional to 415,779.75 and 645,094.13 is: 1,000,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,779.75 : 645,094.13 = 645,094.13 : x
  2. Step 2: Convert to fraction form
    415,779.75/645,094.13 = 645,094.13/x
  3. Step 3: Cross multiply
    415,779.75x = 645,094.13 × 645,094.13
  4. Step 4: Simplify right side
    415,779.75x = 416,146,430,109.52
  5. Step 5: Solve for x
    x = 416,146,430,109.52/415,779.75
  6. Step 6: Final answer
    x = 1,000,881.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.