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Finding the Third Proportional to 309,746 and 455,547

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Solution

The third proportional to 309,746 and 455,547 is: 669,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,746 : 455,547 = 455,547 : x
  2. Step 2: Convert to fraction form
    309,746/455,547 = 455,547/x
  3. Step 3: Cross multiply
    309,746x = 455,547 × 455,547
  4. Step 4: Simplify right side
    309,746x = 207,523,069,209
  5. Step 5: Solve for x
    x = 207,523,069,209/309,746
  6. Step 6: Final answer
    x = 669,978.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.