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Finding the Third Proportional to 292,428 and 428,503

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Solution

The third proportional to 292,428 and 428,503 is: 627,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428 : 428,503 = 428,503 : x
  2. Step 2: Convert to fraction form
    292,428/428,503 = 428,503/x
  3. Step 3: Cross multiply
    292,428x = 428,503 × 428,503
  4. Step 4: Simplify right side
    292,428x = 183,614,821,009
  5. Step 5: Solve for x
    x = 183,614,821,009/292,428
  6. Step 6: Final answer
    x = 627,897.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.