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Finding the Third Proportional to 292,974.47 and 642,035.53

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Solution

The third proportional to 292,974.47 and 642,035.53 is: 1,406,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,974.47 : 642,035.53 = 642,035.53 : x
  2. Step 2: Convert to fraction form
    292,974.47/642,035.53 = 642,035.53/x
  3. Step 3: Cross multiply
    292,974.47x = 642,035.53 × 642,035.53
  4. Step 4: Simplify right side
    292,974.47x = 412,209,623,387.47
  5. Step 5: Solve for x
    x = 412,209,623,387.47/292,974.47
  6. Step 6: Final answer
    x = 1,406,981.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.