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Finding the Third Proportional to 573.33 and 907.93

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Solution

The third proportional to 573.33 and 907.93 is: 1,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.33 : 907.93 = 907.93 : x
  2. Step 2: Convert to fraction form
    573.33/907.93 = 907.93/x
  3. Step 3: Cross multiply
    573.33x = 907.93 × 907.93
  4. Step 4: Simplify right side
    573.33x = 824,332.77
  5. Step 5: Solve for x
    x = 824,332.77/573.33
  6. Step 6: Final answer
    x = 1,437.80

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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.