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Finding the Third Proportional to 518,402 and 741,315

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Solution

The third proportional to 518,402 and 741,315 is: 1,060,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,402 : 741,315 = 741,315 : x
  2. Step 2: Convert to fraction form
    518,402/741,315 = 741,315/x
  3. Step 3: Cross multiply
    518,402x = 741,315 × 741,315
  4. Step 4: Simplify right side
    518,402x = 549,547,929,225
  5. Step 5: Solve for x
    x = 549,547,929,225/518,402
  6. Step 6: Final answer
    x = 1,060,080.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.