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Finding the Third Proportional to 520,352 and 760,640

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Solution

The third proportional to 520,352 and 760,640 is: 1,111,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,352 : 760,640 = 760,640 : x
  2. Step 2: Convert to fraction form
    520,352/760,640 = 760,640/x
  3. Step 3: Cross multiply
    520,352x = 760,640 × 760,640
  4. Step 4: Simplify right side
    520,352x = 578,573,209,600
  5. Step 5: Solve for x
    x = 578,573,209,600/520,352
  6. Step 6: Final answer
    x = 1,111,888.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.