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Finding the Third Proportional to 145,547,871.50 and 315,653,371

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Solution

The third proportional to 145,547,871.50 and 315,653,371 is: 684,565,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,547,871.50 : 315,653,371 = 315,653,371 : x
  2. Step 2: Convert to fraction form
    145,547,871.50/315,653,371 = 315,653,371/x
  3. Step 3: Cross multiply
    145,547,871.50x = 315,653,371 × 315,653,371
  4. Step 4: Simplify right side
    145,547,871.50x = 99,637,050,623,663,648
  5. Step 5: Solve for x
    x = 99,637,050,623,663,648/145,547,871.50
  6. Step 6: Final answer
    x = 684,565,494.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.