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Finding the Third Proportional to 640,398 and 1,004,547

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Solution

The third proportional to 640,398 and 1,004,547 is: 1,575,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,398 : 1,004,547 = 1,004,547 : x
  2. Step 2: Convert to fraction form
    640,398/1,004,547 = 1,004,547/x
  3. Step 3: Cross multiply
    640,398x = 1,004,547 × 1,004,547
  4. Step 4: Simplify right side
    640,398x = 1,009,114,675,209
  5. Step 5: Solve for x
    x = 1,009,114,675,209/640,398
  6. Step 6: Final answer
    x = 1,575,761.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.