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Finding the Third Proportional to 478,963.13 and 736,421.63

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Solution

The third proportional to 478,963.13 and 736,421.63 is: 1,132,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,963.13 : 736,421.63 = 736,421.63 : x
  2. Step 2: Convert to fraction form
    478,963.13/736,421.63 = 736,421.63/x
  3. Step 3: Cross multiply
    478,963.13x = 736,421.63 × 736,421.63
  4. Step 4: Simplify right side
    478,963.13x = 542,316,809,767.64
  5. Step 5: Solve for x
    x = 542,316,809,767.64/478,963.13
  6. Step 6: Final answer
    x = 1,132,272.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.