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Finding the Third Proportional to 508,702 and 787,323

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Solution

The third proportional to 508,702 and 787,323 is: 1,218,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,702 : 787,323 = 787,323 : x
  2. Step 2: Convert to fraction form
    508,702/787,323 = 787,323/x
  3. Step 3: Cross multiply
    508,702x = 787,323 × 787,323
  4. Step 4: Simplify right side
    508,702x = 619,877,506,329
  5. Step 5: Solve for x
    x = 619,877,506,329/508,702
  6. Step 6: Final answer
    x = 1,218,547.41

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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.