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Finding the Third Proportional to 566,884,476 and 810,645,768

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Solution

The third proportional to 566,884,476 and 810,645,768 is: 1,159,224,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,884,476 : 810,645,768 = 810,645,768 : x
  2. Step 2: Convert to fraction form
    566,884,476/810,645,768 = 810,645,768/x
  3. Step 3: Cross multiply
    566,884,476x = 810,645,768 × 810,645,768
  4. Step 4: Simplify right side
    566,884,476x = 657,146,561,176,309,760
  5. Step 5: Solve for x
    x = 657,146,561,176,309,760/566,884,476
  6. Step 6: Final answer
    x = 1,159,224,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.