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Finding the Third Proportional to 292,413 and 637,674

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Solution

The third proportional to 292,413 and 637,674 is: 1,390,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,413 : 637,674 = 637,674 : x
  2. Step 2: Convert to fraction form
    292,413/637,674 = 637,674/x
  3. Step 3: Cross multiply
    292,413x = 637,674 × 637,674
  4. Step 4: Simplify right side
    292,413x = 406,628,130,276
  5. Step 5: Solve for x
    x = 406,628,130,276/292,413
  6. Step 6: Final answer
    x = 1,390,595.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.