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Finding the Third Proportional to 342,465 and 545,409

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Solution

The third proportional to 342,465 and 545,409 is: 868,617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,465 : 545,409 = 545,409 : x
  2. Step 2: Convert to fraction form
    342,465/545,409 = 545,409/x
  3. Step 3: Cross multiply
    342,465x = 545,409 × 545,409
  4. Step 4: Simplify right side
    342,465x = 297,470,977,281
  5. Step 5: Solve for x
    x = 297,470,977,281/342,465
  6. Step 6: Final answer
    x = 868,617.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.