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Finding the Third Proportional to 274,657 and 424,430

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Solution

The third proportional to 274,657 and 424,430 is: 655,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,657 : 424,430 = 424,430 : x
  2. Step 2: Convert to fraction form
    274,657/424,430 = 424,430/x
  3. Step 3: Cross multiply
    274,657x = 424,430 × 424,430
  4. Step 4: Simplify right side
    274,657x = 180,140,824,900
  5. Step 5: Solve for x
    x = 180,140,824,900/274,657
  6. Step 6: Final answer
    x = 655,875.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.