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Finding the Third Proportional to 840,090 and 1,291,239

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Solution

The third proportional to 840,090 and 1,291,239 is: 1,984,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,090 : 1,291,239 = 1,291,239 : x
  2. Step 2: Convert to fraction form
    840,090/1,291,239 = 1,291,239/x
  3. Step 3: Cross multiply
    840,090x = 1,291,239 × 1,291,239
  4. Step 4: Simplify right side
    840,090x = 1,667,298,155,121
  5. Step 5: Solve for x
    x = 1,667,298,155,121/840,090
  6. Step 6: Final answer
    x = 1,984,666.11

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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.