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Finding the Third Proportional to 434,307 and 626,547

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Solution

The third proportional to 434,307 and 626,547 is: 903,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,307 : 626,547 = 626,547 : x
  2. Step 2: Convert to fraction form
    434,307/626,547 = 626,547/x
  3. Step 3: Cross multiply
    434,307x = 626,547 × 626,547
  4. Step 4: Simplify right side
    434,307x = 392,561,143,209
  5. Step 5: Solve for x
    x = 392,561,143,209/434,307
  6. Step 6: Final answer
    x = 903,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.