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Finding the Third Proportional to 497,312 and 771,423

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Solution

The third proportional to 497,312 and 771,423 is: 1,196,619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,312 : 771,423 = 771,423 : x
  2. Step 2: Convert to fraction form
    497,312/771,423 = 771,423/x
  3. Step 3: Cross multiply
    497,312x = 771,423 × 771,423
  4. Step 4: Simplify right side
    497,312x = 595,093,444,929
  5. Step 5: Solve for x
    x = 595,093,444,929/497,312
  6. Step 6: Final answer
    x = 1,196,619.92

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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.