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Finding the Third Proportional to 472,643 and 709,310

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Solution

The third proportional to 472,643 and 709,310 is: 1,064,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,643 : 709,310 = 709,310 : x
  2. Step 2: Convert to fraction form
    472,643/709,310 = 709,310/x
  3. Step 3: Cross multiply
    472,643x = 709,310 × 709,310
  4. Step 4: Simplify right side
    472,643x = 503,120,676,100
  5. Step 5: Solve for x
    x = 503,120,676,100/472,643
  6. Step 6: Final answer
    x = 1,064,483.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.