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Finding the Third Proportional to 292,428 and 637,740

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Solution

The third proportional to 292,428 and 637,740 is: 1,390,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,428 : 637,740 = 637,740 : x
  2. Step 2: Convert to fraction form
    292,428/637,740 = 637,740/x
  3. Step 3: Cross multiply
    292,428x = 637,740 × 637,740
  4. Step 4: Simplify right side
    292,428x = 406,712,307,600
  5. Step 5: Solve for x
    x = 406,712,307,600/292,428
  6. Step 6: Final answer
    x = 1,390,811.78

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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.