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Finding the Third Proportional to 426,480 and 912,008

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Solution

The third proportional to 426,480 and 912,008 is: 1,950,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,480 : 912,008 = 912,008 : x
  2. Step 2: Convert to fraction form
    426,480/912,008 = 912,008/x
  3. Step 3: Cross multiply
    426,480x = 912,008 × 912,008
  4. Step 4: Simplify right side
    426,480x = 831,758,592,064
  5. Step 5: Solve for x
    x = 831,758,592,064/426,480
  6. Step 6: Final answer
    x = 1,950,287.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.