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Finding the Third Proportional to 287,878,416 and 626,871,072

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Solution

The third proportional to 287,878,416 and 626,871,072 is: 1,365,046,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,878,416 : 626,871,072 = 626,871,072 : x
  2. Step 2: Convert to fraction form
    287,878,416/626,871,072 = 626,871,072/x
  3. Step 3: Cross multiply
    287,878,416x = 626,871,072 × 626,871,072
  4. Step 4: Simplify right side
    287,878,416x = 392,967,340,910,429,184
  5. Step 5: Solve for x
    x = 392,967,340,910,429,184/287,878,416
  6. Step 6: Final answer
    x = 1,365,046,210.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.