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Finding the Third Proportional to 557,946 and 716,391

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Solution

The third proportional to 557,946 and 716,391 is: 919,831.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,946 : 716,391 = 716,391 : x
  2. Step 2: Convert to fraction form
    557,946/716,391 = 716,391/x
  3. Step 3: Cross multiply
    557,946x = 716,391 × 716,391
  4. Step 4: Simplify right side
    557,946x = 513,216,064,881
  5. Step 5: Solve for x
    x = 513,216,064,881/557,946
  6. Step 6: Final answer
    x = 919,831.07

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.