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Finding the Third Proportional to 255,327,984 and 404,367,720

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Solution

The third proportional to 255,327,984 and 404,367,720 is: 640,404,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,327,984 : 404,367,720 = 404,367,720 : x
  2. Step 2: Convert to fraction form
    255,327,984/404,367,720 = 404,367,720/x
  3. Step 3: Cross multiply
    255,327,984x = 404,367,720 × 404,367,720
  4. Step 4: Simplify right side
    255,327,984x = 163,513,252,977,998,400
  5. Step 5: Solve for x
    x = 163,513,252,977,998,400/255,327,984
  6. Step 6: Final answer
    x = 640,404,746.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.