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Finding the Third Proportional to 508,726 and 787,358

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Solution

The third proportional to 508,726 and 787,358 is: 1,218,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,726 : 787,358 = 787,358 : x
  2. Step 2: Convert to fraction form
    508,726/787,358 = 787,358/x
  3. Step 3: Cross multiply
    508,726x = 787,358 × 787,358
  4. Step 4: Simplify right side
    508,726x = 619,932,620,164
  5. Step 5: Solve for x
    x = 619,932,620,164/508,726
  6. Step 6: Final answer
    x = 1,218,598.26

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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.