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Finding the Third Proportional to 771,585 and 1,690,280

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Solution

The third proportional to 771,585 and 1,690,280 is: 3,702,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,585 : 1,690,280 = 1,690,280 : x
  2. Step 2: Convert to fraction form
    771,585/1,690,280 = 1,690,280/x
  3. Step 3: Cross multiply
    771,585x = 1,690,280 × 1,690,280
  4. Step 4: Simplify right side
    771,585x = 2,857,046,478,400
  5. Step 5: Solve for x
    x = 2,857,046,478,400/771,585
  6. Step 6: Final answer
    x = 3,702,827.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.