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Finding the Third Proportional to 292,281.75 and 438,463.13

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Solution

The third proportional to 292,281.75 and 438,463.13 is: 657,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,281.75 : 438,463.13 = 438,463.13 : x
  2. Step 2: Convert to fraction form
    292,281.75/438,463.13 = 438,463.13/x
  3. Step 3: Cross multiply
    292,281.75x = 438,463.13 × 438,463.13
  4. Step 4: Simplify right side
    292,281.75x = 192,249,911,984.77
  5. Step 5: Solve for x
    x = 192,249,911,984.77/292,281.75
  6. Step 6: Final answer
    x = 657,755.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.